diff --git a/sdk/core/azure-core/CHANGELOG.md b/sdk/core/azure-core/CHANGELOG.md
index 241f30448202..7b8546e9b8ca 100644
--- a/sdk/core/azure-core/CHANGELOG.md
+++ b/sdk/core/azure-core/CHANGELOG.md
@@ -8,6 +8,9 @@
 
 ### Bugs Fixed
 
+- Fixed a bug where `text/event-stream` content type wasn't being handled correctly.
+  Replaced content type exact match `equals` by `startsWith`. ([#39128](https://github.com/Azure/azure-sdk-for-java/issues/39128))
+
 ### Other Changes
 
 ## 1.47.0 (2024-03-01)
diff --git a/sdk/core/azure-core/src/main/java/com/azure/core/implementation/http/rest/AsyncRestProxy.java b/sdk/core/azure-core/src/main/java/com/azure/core/implementation/http/rest/AsyncRestProxy.java
index 0e9811ef1d41..37e7693d40b8 100644
--- a/sdk/core/azure-core/src/main/java/com/azure/core/implementation/http/rest/AsyncRestProxy.java
+++ b/sdk/core/azure-core/src/main/java/com/azure/core/implementation/http/rest/AsyncRestProxy.java
@@ -204,7 +204,7 @@ static Mono<?> handleBodyReturnType(HttpResponse sourceResponse, Function<byte[]
             // different methods to read the response. The reading of the response is delayed until BinaryData
             // is read and depending on which format the content is converted into, the response is not necessarily
             // fully copied into memory resulting in lesser overall memory usage.
-            if (TEXT_EVENT_STREAM.equals(contentType)) {
+            if (contentType != null && contentType.startsWith(TEXT_EVENT_STREAM)) {
                 // if the response content type is a stream, create a BinaryData instance with bufferContent set to
                 // false.
                 asyncResult = BinaryData.fromFlux(sourceResponse.getBody(), null, false);
diff --git a/sdk/core/azure-core/src/test/java/com/azure/core/implementation/http/rest/AsyncRestProxyTests.java b/sdk/core/azure-core/src/test/java/com/azure/core/implementation/http/rest/AsyncRestProxyTests.java
index cb314577bba8..af0ddd076d72 100644
--- a/sdk/core/azure-core/src/test/java/com/azure/core/implementation/http/rest/AsyncRestProxyTests.java
+++ b/sdk/core/azure-core/src/test/java/com/azure/core/implementation/http/rest/AsyncRestProxyTests.java
@@ -189,6 +189,7 @@ public static Stream<Arguments> getResponseHeaderAndReplayability() {
             Arguments.of(new HttpHeaders().set(HttpHeaderName.CONTENT_TYPE, ContentType.APPLICATION_OCTET_STREAM),
                 true),
             Arguments.of(new HttpHeaders().set(HttpHeaderName.CONTENT_TYPE, "text/event-stream"), false),
+            Arguments.of(new HttpHeaders().set(HttpHeaderName.CONTENT_TYPE, "text/event-stream; charset=utf-8"), false),
             Arguments.of(new HttpHeaders().set(HttpHeaderName.CONTENT_TYPE, ContentType.APPLICATION_JSON), true),
             Arguments.of(new HttpHeaders().set(HttpHeaderName.CONTENT_TYPE, "application/xml"), true));
     }