diff --git a/gas/config/tc-arm.c b/gas/config/tc-arm.c
index a9839cd..b09bf81 100644
--- a/gas/config/tc-arm.c
+++ b/gas/config/tc-arm.c
@@ -9845,7 +9845,9 @@ do_t_branch (void)
 
   if (unified_syntax
       && (inst.size_req == 4
-	  || (inst.size_req != 2 && inst.operands[0].hasreloc)))
+	  || (inst.size_req != 2
+	      && (inst.operands[0].hasreloc
+		  || inst.reloc.exp.X_op == O_constant))))
     {
       inst.instruction = THUMB_OP32(opcode);
       if (cond == COND_ALWAYS)
diff --git a/gas/testsuite/gas/arm/t2-branch-global.d b/gas/testsuite/gas/arm/t2-branch-global.d
new file mode 100644
index 0000000..5850d6b
--- /dev/null
+++ b/gas/testsuite/gas/arm/t2-branch-global.d
@@ -0,0 +1,14 @@
+#name: Thumb-2 branch to constant address
+#This test is only valid on ELF based ports.
+#not-target: *-*-*coff *-*-pe *-*-wince *-*-*aout* *-*-netbsd *-*-riscix*
+#objdump: -rd
+
+
+.*: +file format.*arm.*
+
+
+Disassembly of section .text:
+
+00000000 <foo>:
+   0:	f... b... 	b\.w	.*
+			0: R_ARM_THM_JUMP24	\*ABS\*.*
diff --git a/gas/testsuite/gas/arm/t2-branch-global.s b/gas/testsuite/gas/arm/t2-branch-global.s
new file mode 100644
index 0000000..223d924
--- /dev/null
+++ b/gas/testsuite/gas/arm/t2-branch-global.s
@@ -0,0 +1,5 @@
+.thumb
+.arch armv7
+.syntax unified
+foo:
+	b   0x10 @ Assembler must not relax this