diff --git a/llvm/test/ExecutionEngine/OrcLazy/debug-descriptor-elf-minimal.ll b/llvm/test/ExecutionEngine/OrcLazy/debug-descriptor-elf-minimal.ll
--- a/llvm/test/ExecutionEngine/OrcLazy/debug-descriptor-elf-minimal.ll
+++ b/llvm/test/ExecutionEngine/OrcLazy/debug-descriptor-elf-minimal.ll
@@ -1,3 +1,6 @@
+# REQUIRES: x86-registered-target
+# REQUIRES: 64bit-process
+
 ; RUN: lli --jit-kind=orc-lazy --per-module-lazy --jit-linker=rtdyld \
 ; RUN:     --generate=__dump_jit_debug_descriptor %s | FileCheck %s
 ;
diff --git a/llvm/test/ExecutionEngine/OrcLazy/debug-objects-elf-minimal.ll b/llvm/test/ExecutionEngine/OrcLazy/debug-objects-elf-minimal.ll
--- a/llvm/test/ExecutionEngine/OrcLazy/debug-objects-elf-minimal.ll
+++ b/llvm/test/ExecutionEngine/OrcLazy/debug-objects-elf-minimal.ll
@@ -1,3 +1,6 @@
+# REQUIRES: x86-registered-target
+# REQUIRES: 64bit-process
+
 ; In-memory debug-object contains some basic DWARF
 ;
 ; RUN: lli --jit-kind=orc-lazy --per-module-lazy --jit-linker=rtdyld \
diff --git a/llvm/test/ExecutionEngine/OrcLazy/lit.local.cfg b/llvm/test/ExecutionEngine/OrcLazy/lit.local.cfg
--- a/llvm/test/ExecutionEngine/OrcLazy/lit.local.cfg
+++ b/llvm/test/ExecutionEngine/OrcLazy/lit.local.cfg
@@ -6,3 +6,7 @@
 # FIXME: These tests don't pass with the COFF rtld.
 if sys.platform == 'win32':
     config.unsupported = True
+
+# Some tests only work for 64-bit processes on 64-bit hosts.
+if sys.int_info.sizeof_digit == 8:
+    config.available_features.add('64bit-process')