diff --git a/allure-okhttp3/build.gradle.kts b/allure-okhttp3/build.gradle.kts
index 477d717f3..a88fb6775 100644
--- a/allure-okhttp3/build.gradle.kts
+++ b/allure-okhttp3/build.gradle.kts
@@ -7,6 +7,7 @@ dependencies {
     compileOnly("com.squareup.okhttp3:okhttp:$okhttpVersion")
     testImplementation("org.wiremock:wiremock")
     testImplementation("com.squareup.okhttp3:okhttp:$okhttpVersion")
+    testImplementation("com.squareup.okhttp3:okhttp-sse:$okhttpVersion")
     testImplementation("org.assertj:assertj-core")
     testImplementation(project(":allure-assertj"))
     testImplementation("org.jboss.resteasy:resteasy-client")
diff --git a/allure-okhttp3/src/main/java/io/qameta/allure/okhttp3/AllureOkHttp3.java b/allure-okhttp3/src/main/java/io/qameta/allure/okhttp3/AllureOkHttp3.java
index 2a1338fd1..7dbecba55 100644
--- a/allure-okhttp3/src/main/java/io/qameta/allure/okhttp3/AllureOkHttp3.java
+++ b/allure-okhttp3/src/main/java/io/qameta/allure/okhttp3/AllureOkHttp3.java
@@ -89,7 +89,7 @@ public Response intercept(final Chain chain) throws IOException {
             final Response.Builder okHttpResponseBuilder = response.newBuilder();
             final ResponseBody responseBody = response.body();
 
-            if (Objects.nonNull(responseBody)) {
+            if (Objects.nonNull(responseBody) && !isEventStream(responseBody.contentType())) {
                 final byte[] bytes = responseBody.bytes();
                 responseBuilder.setBody(body(responseBody.contentType(), new String(bytes, StandardCharsets.UTF_8)));
                 okHttpResponseBuilder.body(ResponseBody.create(responseBody.contentType(), bytes));
@@ -129,6 +129,16 @@ private static List<HttpExchangeNameValue> toNameValues(final Map<String, List<S
                 .toList();
     }
 
+    /**
+     * A server-sent-events body only completes when the server closes the connection,
+     * so buffering it would starve the SSE listener of events (see issue #1036).
+     */
+    private static boolean isEventStream(final MediaType mediaType) {
+        return Objects.nonNull(mediaType)
+                && "text".equalsIgnoreCase(mediaType.type())
+                && "event-stream".equalsIgnoreCase(mediaType.subtype());
+    }
+
     private static HttpExchangeBody body(final MediaType mediaType, final String value) {
         return new HttpExchangeBody(
                 mediaType == null ? null : mediaType.toString(),
diff --git a/allure-okhttp3/src/test/java/io/qameta/allure/okhttp3/AllureOkHttp3SseTest.java b/allure-okhttp3/src/test/java/io/qameta/allure/okhttp3/AllureOkHttp3SseTest.java
new file mode 100644
index 000000000..bbea491c3
--- /dev/null
+++ b/allure-okhttp3/src/test/java/io/qameta/allure/okhttp3/AllureOkHttp3SseTest.java
@@ -0,0 +1,132 @@
+/*
+ *  Copyright 2016-2026 Qameta Software Inc
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+package io.qameta.allure.okhttp3;
+
+import com.sun.net.httpserver.HttpServer;
+import io.qameta.allure.test.IsolatedLifecycle;
+import okhttp3.OkHttpClient;
+import okhttp3.Request;
+import okhttp3.sse.EventSource;
+import okhttp3.sse.EventSourceListener;
+import okhttp3.sse.EventSources;
+import org.junit.jupiter.api.AfterEach;
+import org.junit.jupiter.api.BeforeEach;
+import org.junit.jupiter.api.Test;
+
+import java.io.IOException;
+import java.io.OutputStream;
+import java.net.InetSocketAddress;
+import java.nio.charset.StandardCharsets;
+import java.util.List;
+import java.util.Objects;
+import java.util.concurrent.CopyOnWriteArrayList;
+import java.util.concurrent.CountDownLatch;
+import java.util.concurrent.TimeUnit;
+
+import static io.qameta.allure.test.RunUtils.runWithinTestContext;
+import static org.assertj.core.api.Assertions.assertThat;
+
+/**
+ * The interceptor must not consume streaming (text/event-stream) response bodies:
+ * an SSE response only completes when the server closes the connection, so buffering
+ * it starves the {@link EventSourceListener} of events.
+ *
+ * @see <a href="https://github.com/allure-framework/allure-java/issues/1036">#1036</a>
+ */
+@IsolatedLifecycle
+class AllureOkHttp3SseTest {
+
+    private static final List<String> EVENTS = List.of("first", "second");
+
+    private HttpServer server;
+    private final CountDownLatch connectionHold = new CountDownLatch(1);
+
+    @BeforeEach
+    void setUp() throws IOException {
+        server = HttpServer.create(new InetSocketAddress("localhost", 0), 0);
+        server.createContext("/sse", exchange -> {
+            exchange.getResponseHeaders().add("Content-Type", "text/event-stream");
+            exchange.sendResponseHeaders(200, 0);
+            try (OutputStream os = exchange.getResponseBody()) {
+                for (final String event : EVENTS) {
+                    os.write(("data: " + event + "\n\n").getBytes(StandardCharsets.UTF_8));
+                    os.flush();
+                }
+                // hold the connection open: if the body completes, buffering passes too
+                // and the test stops catching the regression
+                try {
+                    connectionHold.await(15, TimeUnit.SECONDS);
+                } catch (InterruptedException e) {
+                    Thread.currentThread().interrupt();
+                }
+            }
+        });
+        server.start();
+    }
+
+    @AfterEach
+    void tearDown() {
+        connectionHold.countDown();
+        if (Objects.nonNull(server)) {
+            server.stop(0);
+        }
+    }
+
+    @Test
+    void shouldDeliverSseEventsWhileStreamIsOpen() throws InterruptedException {
+        final List<String> received = new CopyOnWriteArrayList<>();
+        final CountDownLatch eventsArrived = new CountDownLatch(EVENTS.size());
+
+        final OkHttpClient client = new OkHttpClient.Builder()
+                .addInterceptor(new AllureOkHttp3())
+                .build();
+        final Request request = new Request.Builder()
+                .url("http://localhost:" + server.getAddress().getPort() + "/sse")
+                .build();
+
+        final EventSourceListener listener = new EventSourceListener() {
+            @Override
+            public void onEvent(final EventSource eventSource, final String id,
+                                final String type, final String data) {
+                received.add(data);
+                eventsArrived.countDown();
+            }
+
+            @Override
+            public void onFailure(final EventSource eventSource, final Throwable t,
+                                  final okhttp3.Response response) {
+                // cancel() lands here on every run, so don't fail the test - just stop waiting
+                while (eventsArrived.getCount() > 0) {
+                    eventsArrived.countDown();
+                }
+            }
+        };
+
+        runWithinTestContext(() -> {
+            final EventSource eventSource = EventSources.createFactory(client)
+                    .newEventSource(request, listener);
+            try {
+                eventsArrived.await(5, TimeUnit.SECONDS);
+            } catch (InterruptedException e) {
+                Thread.currentThread().interrupt();
+            } finally {
+                eventSource.cancel();
+            }
+        });
+
+        assertThat(received).containsExactlyElementsOf(EVENTS);
+    }
+}