diff --git a/csharp/src/Microsoft.ML.OnnxRuntime/NativeMethods.cs b/csharp/src/Microsoft.ML.OnnxRuntime/NativeMethods.cs
index c6b6c325bb..1cb366d716 100644
--- a/csharp/src/Microsoft.ML.OnnxRuntime/NativeMethods.cs
+++ b/csharp/src/Microsoft.ML.OnnxRuntime/NativeMethods.cs
@@ -237,10 +237,10 @@ namespace Microsoft.ML.OnnxRuntime
         // Set a flag so that any running OrtRun* calls that are using this instance of OrtRunOptions
         // will exit as soon as possible if the flag is true.
         [DllImport(nativeLib, CharSet = charSet)]
-        public static extern IntPtr /*(OrtStatus*)*/ OrtRunOptionsEnableTerminate(IntPtr /* OrtRunOptions* */ options);
+        public static extern IntPtr /*(OrtStatus*)*/ OrtRunOptionsSetTerminate(IntPtr /* OrtRunOptions* */ options);
 
         [DllImport(nativeLib, CharSet = charSet)]
-        public static extern IntPtr /*(OrtStatus*)*/ OrtRunOptionsDisableTerminate(IntPtr /* OrtRunOptions* */ options);
+        public static extern IntPtr /*(OrtStatus*)*/ OrtRunOptionsUnsetTerminate(IntPtr /* OrtRunOptions* */ options);
 
 
 
diff --git a/csharp/src/Microsoft.ML.OnnxRuntime/RunOptions.cs b/csharp/src/Microsoft.ML.OnnxRuntime/RunOptions.cs
index 849863cacc..ad95bcae9b 100644
--- a/csharp/src/Microsoft.ML.OnnxRuntime/RunOptions.cs
+++ b/csharp/src/Microsoft.ML.OnnxRuntime/RunOptions.cs
@@ -65,7 +65,7 @@ namespace Microsoft.ML.OnnxRuntime
 
 
         /// <summary>
-        /// Sets a flag to terminate any other Run() call that is using the same RunOptions object 
+        /// Sets a flag to terminate all Run() calls that are currently using this RunOptions object 
         /// Default = false
         /// </summary>
         public bool Terminate
@@ -78,12 +78,12 @@ namespace Microsoft.ML.OnnxRuntime
             {
                 if (!_terminate && value)
                 {
-                    NativeApiStatus.VerifySuccess(NativeMethods.OrtRunOptionsEnableTerminate(_nativePtr));
+                    NativeApiStatus.VerifySuccess(NativeMethods.OrtRunOptionsSetTerminate(_nativePtr));
                     _terminate = true;
                 }
                 else if (_terminate && !value)
                 {
-                    NativeApiStatus.VerifySuccess(NativeMethods.OrtRunOptionsDisableTerminate(_nativePtr));
+                    NativeApiStatus.VerifySuccess(NativeMethods.OrtRunOptionsUnsetTerminate(_nativePtr));
                     _terminate = false;
                 }
             }
diff --git a/include/onnxruntime/core/session/onnxruntime_c_api.h b/include/onnxruntime/core/session/onnxruntime_c_api.h
index 47414b470d..dd2dc98be5 100644
--- a/include/onnxruntime/core/session/onnxruntime_c_api.h
+++ b/include/onnxruntime/core/session/onnxruntime_c_api.h
@@ -300,10 +300,11 @@ ORT_API_STATUS(OrtRunOptionsGetRunLogVerbosityLevel, _In_ const OrtRunOptions* o
 ORT_API_STATUS(OrtRunOptionsGetRunLogSeverityLevel, _In_ const OrtRunOptions* options, _Out_ int* out);
 ORT_API_STATUS(OrtRunOptionsGetRunTag, _In_ const OrtRunOptions*, _Out_ const char** out);
 
-// Set a flag so that any running OrtRun* calls that are using this instance of OrtRunOptions
-// will exit as soon as possible if the flag is true.
-ORT_API_STATUS(OrtRunOptionsEnableTerminate, _Inout_ OrtRunOptions* options);
-ORT_API_STATUS(OrtRunOptionsDisableTerminate, _Inout_ OrtRunOptions* options);
+// Set a flag so that ALL incomplete OrtRun calls that are using this instance of OrtRunOptions
+// will exit as soon as possible.
+ORT_API_STATUS(OrtRunOptionsSetTerminate, _Inout_ OrtRunOptions* options);
+// Unset the terminate flag to enable this OrtRunOptions instance being used in new OrtRun calls.
+ORT_API_STATUS(OrtRunOptionsUnsetTerminate, _Inout_ OrtRunOptions* options);
 
 /**
  * Create a tensor from an allocator. OrtReleaseValue will also release the buffer inside the output value
diff --git a/include/onnxruntime/core/session/onnxruntime_cxx_api.h b/include/onnxruntime/core/session/onnxruntime_cxx_api.h
index 020922f2cf..daccf1eb18 100644
--- a/include/onnxruntime/core/session/onnxruntime_cxx_api.h
+++ b/include/onnxruntime/core/session/onnxruntime_cxx_api.h
@@ -125,8 +125,10 @@ struct RunOptions : Base<OrtRunOptions> {
   RunOptions& SetRunTag(const char* run_tag);
   const char* GetRunTag() const;
 
-  RunOptions& EnableTerminate();
-  RunOptions& DisableTerminate();
+  // terminate ALL currently executing Session::Run calls that were made using this RunOptions instance
+  RunOptions& SetTerminate();
+  // unset the terminate flag so this RunOptions instance can be used in a new Session::Run call
+  RunOptions& UnsetTerminate();
 };
 
 struct SessionOptions : Base<OrtSessionOptions> {
diff --git a/include/onnxruntime/core/session/onnxruntime_cxx_inline.h b/include/onnxruntime/core/session/onnxruntime_cxx_inline.h
index 24f6171666..54eb699782 100644
--- a/include/onnxruntime/core/session/onnxruntime_cxx_inline.h
+++ b/include/onnxruntime/core/session/onnxruntime_cxx_inline.h
@@ -116,13 +116,13 @@ inline const char* RunOptions::GetRunTag() const {
   return out;
 }
 
-inline RunOptions& RunOptions::EnableTerminate() {
-  ORT_THROW_ON_ERROR(OrtRunOptionsEnableTerminate(p_));
+inline RunOptions& RunOptions::SetTerminate() {
+  ORT_THROW_ON_ERROR(OrtRunOptionsSetTerminate(p_));
   return *this;
 }
 
-inline RunOptions& RunOptions::DisableTerminate() {
-  ORT_THROW_ON_ERROR(OrtRunOptionsDisableTerminate(p_));
+inline RunOptions& RunOptions::UnsetTerminate() {
+  ORT_THROW_ON_ERROR(OrtRunOptionsUnsetTerminate(p_));
   return *this;
 }
 
diff --git a/onnxruntime/core/framework/run_options.cc b/onnxruntime/core/framework/run_options.cc
index 640c610841..1d535b474b 100644
--- a/onnxruntime/core/framework/run_options.cc
+++ b/onnxruntime/core/framework/run_options.cc
@@ -43,12 +43,12 @@ ORT_API_STATUS_IMPL(OrtRunOptionsGetRunTag, _In_ const OrtRunOptions* options, c
   return nullptr;
 }
 
-ORT_API_STATUS_IMPL(OrtRunOptionsEnableTerminate, _Inout_ OrtRunOptions* options) {
+ORT_API_STATUS_IMPL(OrtRunOptionsSetTerminate, _Inout_ OrtRunOptions* options) {
   options->terminate = true;
   return nullptr;
 }
 
-ORT_API_STATUS_IMPL(OrtRunOptionsDisableTerminate, _Inout_ OrtRunOptions* options) {
+ORT_API_STATUS_IMPL(OrtRunOptionsUnsetTerminate, _Inout_ OrtRunOptions* options) {
   options->terminate = false;
   return nullptr;
 }
diff --git a/onnxruntime/core/providers/cpu/symbols.txt b/onnxruntime/core/providers/cpu/symbols.txt
index 632bff9d77..e2523d2115 100644
--- a/onnxruntime/core/providers/cpu/symbols.txt
+++ b/onnxruntime/core/providers/cpu/symbols.txt
@@ -67,8 +67,8 @@ OrtRunOptionsGetRunTag
 OrtRunOptionsSetRunLogVerbosityLevel
 OrtRunOptionsSetRunLogSeverityLevel
 OrtRunOptionsSetRunTag
-OrtRunOptionsEnableTerminate
-OrtRunOptionsDisableTerminate
+OrtRunOptionsSetTerminate
+OrtRunOptionsUnsetTerminate
 OrtSessionGetInputCount
 OrtSessionGetInputName
 OrtSessionGetInputTypeInfo