diff --git a/SPARQLWrapper/Wrapper.py b/SPARQLWrapper/Wrapper.py
index 316d6d9..7cf06bb 100644
--- a/SPARQLWrapper/Wrapper.py
+++ b/SPARQLWrapper/Wrapper.py
@@ -760,6 +760,7 @@ def _getAcceptHeader(self) -> str:
         <https://www.w3.org/Protocols/rfc2616/rfc2616-sec14.html#sec14.1>`_
         """
         if self.queryType in [SELECT, ASK]:
+            unsupportedReturnTypesForSelectQueries = [RDF, RDFXML, TURTLE, N3, JSONLD]
             if self.returnFormat == XML:
                 acceptHeader = ",".join(_SPARQL_XML)
             elif self.returnFormat == JSON:
@@ -774,6 +775,8 @@ def _getAcceptHeader(self) -> str:
             ):  # Allowed for SELECT and ASK (https://www.w3.org/TR/2013/REC-sparql11-protocol-20130321/#query-success)
                 # but only described for SELECT (https://www.w3.org/TR/sparql11-results-csv-tsv/)
                 acceptHeader = ",".join(_TSV)
+            elif (self.queryType == SELECT and  self.returnFormat in unsupportedReturnTypesForSelectQueries):
+                raise ValueError(self.returnFormat.upper() + " is not a valid return format for SELECT queries. Supported formats include: %s" % ", ".join([i for i in _allowedFormats if i not in unsupportedReturnTypesForSelectQueries]))
             else:
                 acceptHeader = ",".join(_ALL)
                 warnings.warn(
diff --git a/test/test_wrapper.py b/test/test_wrapper.py
index 6b31958..3a37b73 100644
--- a/test/test_wrapper.py
+++ b/test/test_wrapper.py
@@ -205,6 +205,8 @@ def testSetReturnFormat(self):
         self.wrapper.setReturnFormat(JSON)
         self.assertEqual(JSON, self.wrapper.query().requestedFormat)
 
+        # JSONLD is not supported for SELECT queries, so we need to use a different query type
+        self.wrapper.setQuery("CONSTRUCT WHERE { ?s ?p ?o }")
         self.wrapper.setReturnFormat(JSONLD)
         self.assertEqual(JSONLD, self.wrapper.query().requestedFormat)
 
@@ -221,6 +223,46 @@ def testsSupportsReturnFormat(self):
 
         self.assertTrue(self.wrapper.supportsReturnFormat(JSONLD))
 
+    def testSelectQueryWithRDFFormatsRaisesValueError(self):
+        """Test that SELECT queries with RDF formats raise ValueError"""
+        # Set up a SELECT query
+        self.wrapper.setQuery("SELECT * WHERE { ?s ?p ?o }")
+        
+        # Test that RDF formats raise ValueError for SELECT queries
+        rdf_formats = [RDF, RDFXML, TURTLE, N3, JSONLD]
+        
+        for format_type in rdf_formats:
+            with self.subTest(format=format_type):
+                self.wrapper.setReturnFormat(format_type)
+                # The error should be raised when trying to get the accept header
+                with self.assertRaises(ValueError) as context:
+                    self._get_request(self.wrapper)
+                
+                # Verify the error message contains the format name and mentions SELECT queries
+                error_message = str(context.exception)
+                print(error_message)
+                self.assertIn(format_type.upper(), error_message)
+                self.assertIn("SELECT queries", error_message)
+                self.assertIn("not a valid return format", error_message)
+
+    def testSelectQueryWithValidFormatsWorks(self):
+        """Test that SELECT queries with valid formats work correctly"""
+        # Set up a SELECT query
+        self.wrapper.setQuery("SELECT * WHERE { ?s ?p ?o }")
+        
+        # Test that valid formats for SELECT queries work
+        valid_formats = [XML, JSON, CSV, TSV]
+        
+        for format_type in valid_formats:
+            with self.subTest(format=format_type):
+                self.wrapper.setReturnFormat(format_type)
+                # This should not raise an error
+                try:
+                    request = self._get_request(self.wrapper)
+                    self.assertIsNotNone(request)
+                except ValueError:
+                    self.fail(f"Valid format {format_type} should not raise ValueError for SELECT queries")
+
     def testAddParameter(self):
         self.assertFalse(self.wrapper.addParameter("query", "dummy"))
         self.assertTrue(self.wrapper.addParameter("param1", "value1"))