diff --git a/src/solaris/classes/java/lang/UNIXProcess.java b/src/solaris/classes/java/lang/UNIXProcess.java
index 35d37e6b5d35eb99871f63bd376f1ffa3b44b394..cc3b596172ade9f7b5cd4917def618ef8b13cc59 100644
--- a/src/solaris/classes/java/lang/UNIXProcess.java
+++ b/src/solaris/classes/java/lang/UNIXProcess.java
@@ -405,14 +405,17 @@ final class UNIXProcess extends Process {
         if (hasExited) return true;
         if (timeout <= 0) return false;
 
-        long timeoutAsNanos = unit.toNanos(timeout);
-        long startTime = System.nanoTime();
-        long rem = timeoutAsNanos;
-
-        while (!hasExited && (rem > 0)) {
-            wait(Math.max(TimeUnit.NANOSECONDS.toMillis(rem), 1));
-            rem = timeoutAsNanos - (System.nanoTime() - startTime);
-        }
+        long remainingNanos = unit.toNanos(timeout);
+        long deadline = System.nanoTime() + remainingNanos;
+
+        do {
+            // Round up to next millisecond
+            wait(TimeUnit.NANOSECONDS.toMillis(remainingNanos + 999_999L));
+            if (hasExited) {
+                return true;
+            }
+            remainingNanos = deadline - System.nanoTime();
+        } while (remainingNanos > 0);
         return hasExited;
     }
 
diff --git a/src/windows/classes/java/lang/ProcessImpl.java b/src/windows/classes/java/lang/ProcessImpl.java
index b288dbd28dc26383e1ac12548fab8fa6111bca03..21b43866a70af3a2a5b415f21e60e58591f02754 100644
--- a/src/windows/classes/java/lang/ProcessImpl.java
+++ b/src/windows/classes/java/lang/ProcessImpl.java
@@ -461,11 +461,21 @@ final class ProcessImpl extends Process {
         if (getExitCodeProcess(handle) != STILL_ACTIVE) return true;
         if (timeout <= 0) return false;
 
-        long msTimeout = unit.toMillis(timeout);
+        long remainingNanos  = unit.toNanos(timeout);
+        long deadline = System.nanoTime() + remainingNanos ;
+
+        do {
+            // Round up to next millisecond
+            long msTimeout = TimeUnit.NANOSECONDS.toMillis(remainingNanos + 999_999L);
+            waitForTimeoutInterruptibly(handle, msTimeout);
+            if (Thread.interrupted())
+                throw new InterruptedException();
+            if (getExitCodeProcess(handle) != STILL_ACTIVE) {
+                return true;
+            }
+            remainingNanos = deadline - System.nanoTime();
+        } while (remainingNanos > 0);
 
-        waitForTimeoutInterruptibly(handle, msTimeout);
-        if (Thread.interrupted())
-            throw new InterruptedException();
         return (getExitCodeProcess(handle) != STILL_ACTIVE);
     }