diff --git a/include/asm-x86/rwlock.h b/include/asm-x86/rwlock.h
index f2b64a429e6b..6a8c0d645108 100644
--- a/include/asm-x86/rwlock.h
+++ b/include/asm-x86/rwlock.h
@@ -2,7 +2,6 @@
 #define _ASM_X86_RWLOCK_H
 
 #define RW_LOCK_BIAS		 0x01000000
-#define RW_LOCK_BIAS_STR	"0x01000000"
 
 /* Actual code is in asm/spinlock.h or in arch/x86/lib/rwlock.S */
 
diff --git a/include/asm-x86/spinlock_32.h b/include/asm-x86/spinlock_32.h
index fca124a1103d..e7a14ab906e9 100644
--- a/include/asm-x86/spinlock_32.h
+++ b/include/asm-x86/spinlock_32.h
@@ -156,11 +156,11 @@ static inline void __raw_read_lock(raw_rwlock_t *rw)
 
 static inline void __raw_write_lock(raw_rwlock_t *rw)
 {
-	asm volatile(LOCK_PREFIX " subl $" RW_LOCK_BIAS_STR ",(%0)\n\t"
+	asm volatile(LOCK_PREFIX " subl %1,(%0)\n\t"
 		     "jz 1f\n"
 		     "call __write_lock_failed\n\t"
 		     "1:\n"
-		     ::"a" (rw) : "memory");
+		     ::"a" (rw), "i" (RW_LOCK_BIAS) : "memory");
 }
 
 static inline int __raw_read_trylock(raw_rwlock_t *lock)
@@ -191,8 +191,8 @@ static inline void __raw_read_unlock(raw_rwlock_t *rw)
 
 static inline void __raw_write_unlock(raw_rwlock_t *rw)
 {
-	asm volatile(LOCK_PREFIX "addl $" RW_LOCK_BIAS_STR ", %0"
-				 : "+m" (rw->lock) : : "memory");
+	asm volatile(LOCK_PREFIX "addl %1, %0"
+		     : "+m" (rw->lock) : "i" (RW_LOCK_BIAS) : "memory");
 }
 
 #define _raw_spin_relax(lock)	cpu_relax()
diff --git a/include/asm-x86/spinlock_64.h b/include/asm-x86/spinlock_64.h
index e81f6c18d877..ab50e7f51058 100644
--- a/include/asm-x86/spinlock_64.h
+++ b/include/asm-x86/spinlock_64.h
@@ -127,7 +127,7 @@ static inline void __raw_read_lock(raw_rwlock_t *rw)
 		     "jns 1f\n"
 		     "call __read_lock_failed\n\t"
 		     "1:\n"
-		     ::"D" (rw), "i" (RW_LOCK_BIAS) : "memory");
+		     ::"D" (rw) : "memory");
 }
 
 static inline void __raw_write_lock(raw_rwlock_t *rw)
@@ -167,8 +167,8 @@ static inline void __raw_read_unlock(raw_rwlock_t *rw)
 
 static inline void __raw_write_unlock(raw_rwlock_t *rw)
 {
-	asm volatile(LOCK_PREFIX "addl $" RW_LOCK_BIAS_STR ", %0"
-				: "+m" (rw->lock) : : "memory");
+	asm volatile(LOCK_PREFIX "addl %1, %0"
+		     : "+m" (rw->lock) : "i" (RW_LOCK_BIAS) : "memory");
 }
 
 #define _raw_spin_relax(lock)	cpu_relax()