diff --git a/llvm/lib/Target/SystemZ/AsmParser/SystemZAsmParser.cpp b/llvm/lib/Target/SystemZ/AsmParser/SystemZAsmParser.cpp
index 93c4ce4b5ccc79..b58d20fc49ba20 100644
--- a/llvm/lib/Target/SystemZ/AsmParser/SystemZAsmParser.cpp
+++ b/llvm/lib/Target/SystemZ/AsmParser/SystemZAsmParser.cpp
@@ -1304,14 +1304,23 @@ SystemZAsmParser::parsePCRel(OperandVector &Operands, int64_t MinVal,
   if (getParser().parseExpression(Expr))
     return MatchOperand_NoMatch;
 
+  auto isOutOfRangeConstant = [&](const MCExpr *E) -> bool {
+    if (auto *CE = dyn_cast<MCConstantExpr>(E)) {
+      int64_t Value = CE->getValue();
+      if ((Value & 1) || Value < MinVal || Value > MaxVal)
+        return true;
+    }
+    return false;
+  };
+
   // For consistency with the GNU assembler, treat immediates as offsets
   // from ".".
   if (auto *CE = dyn_cast<MCConstantExpr>(Expr)) {
-    int64_t Value = CE->getValue();
-    if ((Value & 1) || Value < MinVal || Value > MaxVal) {
+    if (isOutOfRangeConstant(CE)) {
       Error(StartLoc, "offset out of range");
       return MatchOperand_ParseFail;
     }
+    int64_t Value = CE->getValue();
     MCSymbol *Sym = Ctx.createTempSymbol();
     Out.EmitLabel(Sym);
     const MCExpr *Base = MCSymbolRefExpr::create(Sym, MCSymbolRefExpr::VK_None,
@@ -1319,6 +1328,15 @@ SystemZAsmParser::parsePCRel(OperandVector &Operands, int64_t MinVal,
     Expr = Value == 0 ? Base : MCBinaryExpr::createAdd(Base, Expr, Ctx);
   }
 
+  // For consistency with the GNU assembler, conservatively assume that a
+  // constant offset must by itself be within the given size range.
+  if (const auto *BE = dyn_cast<MCBinaryExpr>(Expr))
+    if (isOutOfRangeConstant(BE->getLHS()) ||
+        isOutOfRangeConstant(BE->getRHS())) {
+      Error(StartLoc, "offset out of range");
+      return MatchOperand_ParseFail;
+    }
+
   // Optionally match :tls_gdcall: or :tls_ldcall: followed by a TLS symbol.
   const MCExpr *Sym = nullptr;
   if (AllowTLS && getLexer().is(AsmToken::Colon)) {
diff --git a/llvm/lib/Target/SystemZ/SystemZISelLowering.cpp b/llvm/lib/Target/SystemZ/SystemZISelLowering.cpp
index e0ca9da93561c6..8e71d83425629e 100644
--- a/llvm/lib/Target/SystemZ/SystemZISelLowering.cpp
+++ b/llvm/lib/Target/SystemZ/SystemZISelLowering.cpp
@@ -2828,17 +2828,26 @@ SDValue SystemZTargetLowering::lowerGlobalAddress(GlobalAddressSDNode *Node,
 
   SDValue Result;
   if (Subtarget.isPC32DBLSymbol(GV, CM)) {
-    // Assign anchors at 1<<12 byte boundaries.
-    uint64_t Anchor = Offset & ~uint64_t(0xfff);
-    Result = DAG.getTargetGlobalAddress(GV, DL, PtrVT, Anchor);
-    Result = DAG.getNode(SystemZISD::PCREL_WRAPPER, DL, PtrVT, Result);
-
-    // The offset can be folded into the address if it is aligned to a halfword.
-    Offset -= Anchor;
-    if (Offset != 0 && (Offset & 1) == 0) {
-      SDValue Full = DAG.getTargetGlobalAddress(GV, DL, PtrVT, Anchor + Offset);
-      Result = DAG.getNode(SystemZISD::PCREL_OFFSET, DL, PtrVT, Full, Result);
-      Offset = 0;
+    if (isInt<32>(Offset)) {
+      // Assign anchors at 1<<12 byte boundaries.
+      uint64_t Anchor = Offset & ~uint64_t(0xfff);
+      Result = DAG.getTargetGlobalAddress(GV, DL, PtrVT, Anchor);
+      Result = DAG.getNode(SystemZISD::PCREL_WRAPPER, DL, PtrVT, Result);
+
+      // The offset can be folded into the address if it is aligned to a
+      // halfword.
+      Offset -= Anchor;
+      if (Offset != 0 && (Offset & 1) == 0) {
+        SDValue Full =
+          DAG.getTargetGlobalAddress(GV, DL, PtrVT, Anchor + Offset);
+        Result = DAG.getNode(SystemZISD::PCREL_OFFSET, DL, PtrVT, Full, Result);
+        Offset = 0;
+      }
+    } else {
+      // Conservatively load a constant offset greater than 32 bits into a
+      // register below.
+      Result = DAG.getTargetGlobalAddress(GV, DL, PtrVT);
+      Result = DAG.getNode(SystemZISD::PCREL_WRAPPER, DL, PtrVT, Result);
     }
   } else {
     Result = DAG.getTargetGlobalAddress(GV, DL, PtrVT, 0, SystemZII::MO_GOT);
diff --git a/llvm/test/CodeGen/SystemZ/la-05.ll b/llvm/test/CodeGen/SystemZ/la-05.ll
new file mode 100644
index 00000000000000..27d7d91e6c8ab1
--- /dev/null
+++ b/llvm/test/CodeGen/SystemZ/la-05.ll
@@ -0,0 +1,31 @@
+; Test that a huge address offset is loaded into a register and then added
+; separately.
+;
+; RUN: llc < %s -mtriple=s390x-linux-gnu | FileCheck %s
+
+@a = common dso_local global i32 0, align 4
+
+define i64 @f1() {
+; CHECK-LABEL: f1:
+; CHECK: llihl   %r0, 829
+; CHECK: oilf    %r0, 4294966308
+; CHECK: larl    %r2, a
+; CHECK: agr     %r2, %r0
+; CHECK: br      %r14
+  ret i64 add (i64 ptrtoint (i32* @a to i64), i64 3564822854692)
+}
+
+define signext i32 @f2() {
+; CHECK-LABEL: f2:
+; CHECK: llihl   %r0, 829
+; CHECK: oilf    %r0, 4294966308
+; CHECK: larl    %r1, a
+; CHECK: agr     %r1, %r0
+; CHECK: lgf     %r2, 0(%r1)
+; CHECK: br      %r14
+entry:
+  %0 = load i32, i32* inttoptr (i64 add (i64 ptrtoint (i32* @a to i64),
+                                i64 3564822854692) to i32*)
+  ret i32 %0
+}
+
diff --git a/llvm/test/MC/SystemZ/insn-bad.s b/llvm/test/MC/SystemZ/insn-bad.s
index 57c69f60361bf1..7dfbba743b60eb 100644
--- a/llvm/test/MC/SystemZ/insn-bad.s
+++ b/llvm/test/MC/SystemZ/insn-bad.s
@@ -3104,11 +3104,14 @@
 #CHECK: larl	%r0, 1
 #CHECK: error: offset out of range
 #CHECK: larl	%r0, 0x100000000
+#CHECK: error: offset out of range
+#CHECK: larl	%r1, __unnamed_1+3564822854692
 
 	larl	%r0, -0x1000000002
 	larl	%r0, -1
 	larl	%r0, 1
 	larl	%r0, 0x100000000
+	larl	%r1, __unnamed_1+3564822854692
 
 #CHECK: error: invalid use of indexed addressing
 #CHECK: lasp	160(%r1,%r15),160(%r15)
@@ -3840,11 +3843,14 @@
 #CHECK: lrl	%r0, 1
 #CHECK: error: offset out of range
 #CHECK: lrl	%r0, 0x100000000
+#CHECK: error: offset out of range
+#CHECK: lrl	%r1, __unnamed_1+3564822854692
 
 	lrl	%r0, -0x1000000002
 	lrl	%r0, -1
 	lrl	%r0, 1
 	lrl	%r0, 0x100000000
+	lrl	%r1, __unnamed_1+3564822854692
 
 #CHECK: error: invalid operand
 #CHECK: lrv	%r0, -524289