diff --git a/windows/winmme/JackWinMMEDriver.cpp b/windows/winmme/JackWinMMEDriver.cpp
index b98158f7..f6262f8b 100644
--- a/windows/winmme/JackWinMMEDriver.cpp
+++ b/windows/winmme/JackWinMMEDriver.cpp
@@ -18,6 +18,8 @@ Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
 
 */
 
+#include <cmath>
+
 #include "JackEngineControl.h"
 #include "JackWinMMEDriver.h"
 
@@ -47,7 +49,8 @@ JackWinMMEDriver::Attach()
     jack_latency_range_t latency_range;
     const char *name;
     JackPort *port;
-    latency_range.max = latency;
+    latency_range.max = latency +
+        ((jack_nframes_t) std::ceil((period / 1000.0) * sample_rate));
     latency_range.min = latency;
 
     jack_info("JackWinMMEDriver::Attach - fCaptureChannels  %d", fCaptureChannels);