diff --git a/libs/ardour/sse_functions.s b/libs/ardour/sse_functions.s
index 4b9b7c30f7..7df689188c 100644
--- a/libs/ardour/sse_functions.s
+++ b/libs/ardour/sse_functions.s
@@ -397,10 +397,6 @@ x86_sse_apply_gain_to_buffer:
 .globl x86_sse_compute_peak
 	.type	x86_sse_compute_peak,@function
 
-abs_mask:
-	.long   2147483647
-
-	
 x86_sse_compute_peak:
 #; 8(%ebp)	= float	*buf 	= %edi
 #; 12(%ebp) = long	nframes = %ecx
@@ -423,7 +419,9 @@ x86_sse_compute_peak:
 	je	.CP_END
 
 	#; create the "abs" mask in %xmm2
-	movss	abs_mask, %xmm2
+	pushl	$2147483647
+	movss	(%esp), %xmm2
+	addl    $4, %esp
 	shufps	$0x00, %xmm2, %xmm2
 
 	#; Check for alignment
diff --git a/libs/ardour/sse_functions_64bit.s b/libs/ardour/sse_functions_64bit.s
index 9167e2169f..997852eb5b 100644
--- a/libs/ardour/sse_functions_64bit.s
+++ b/libs/ardour/sse_functions_64bit.s
@@ -482,9 +482,6 @@ x86_sse_apply_gain_vector:
 .globl x86_sse_compute_peak
 	.type	x86_sse_compute_peak,@function
 
-abs_mask:
-	.long   2147483647
-
 	
 x86_sse_compute_peak:
 
@@ -505,7 +502,9 @@ x86_sse_compute_peak:
 	je	.CP_END
 
 	#; create the "abs" mask in %xmm2
-	movss	abs_mask, %xmm2
+	pushq   $2147483647
+	movss	(%rsp), %xmm2
+	addq    $8, %rsp
 	shufps	$0x00, %xmm2, %xmm2
 
 	#; Check for alignment