diff --git a/gunicorn/http/parser.py b/gunicorn/http/parser.py
index 5b2da115..260beafa 100644
--- a/gunicorn/http/parser.py
+++ b/gunicorn/http/parser.py
@@ -36,9 +36,9 @@ class Parser:
         """
         if self.mesg:
             try:
-                data = self.mesg.body.read(8192)
+                data = self.mesg.body.read(1024)
                 while data:
-                    data = self.mesg.body.read(8192)
+                    data = self.mesg.body.read(1024)
             except ssl.SSLWantReadError:
                 # SSL socket has no more application data available
                 pass
diff --git a/tests/test_gthread.py b/tests/test_gthread.py
index a085ada7..0762cc99 100644
--- a/tests/test_gthread.py
+++ b/tests/test_gthread.py
@@ -1443,7 +1443,7 @@ class TestFinishBodySSL:
         parser.finish_body()  # Should not raise
 
         # Verify body.read was called
-        mock_body.read.assert_called_once_with(8192)
+        mock_body.read.assert_called_once_with(1024)
 
     def test_finish_body_reads_all_data_before_ssl_error(self):
         """Test that finish_body() reads all available data before SSLWantReadError."""
@@ -1513,4 +1513,4 @@ class TestFinishBodySSL:
         parser.finish_body()
 
         # Verify body.read was called once and returned empty
-        mock_body.read.assert_called_once_with(8192)
+        mock_body.read.assert_called_once_with(1024)