diff --git a/compiler/rustc_trait_selection/src/traits/select/mod.rs b/compiler/rustc_trait_selection/src/traits/select/mod.rs
index 85016a701f3b1..84294e8726ae6 100644
--- a/compiler/rustc_trait_selection/src/traits/select/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/select/mod.rs
@@ -723,6 +723,62 @@ impl<'cx, 'tcx> SelectionContext<'cx, 'tcx> {
             // out the param env and get better caching.
             debug!("in global");
             obligation.param_env = obligation.param_env.without_caller_bounds();
+        } else if !self.intercrate
+            && obligation.predicate.is_global(self.tcx())
+            && obligation.param_env.has_free_regions(self.tcx())
+        {
+            // Strip out bounds that only reference regions
+            let new_bounds: Vec<_> = obligation
+                .param_env
+                .caller_bounds()
+                .iter()
+                .filter(|bound| match bound.kind().skip_binder() {
+                    predicate @ ty::PredicateKind::RegionOutlives(_) => {
+                        // A bound involving early-bound regions
+                        // (e.g. `fn foo<'a, 'b>() where 'a: 'b or
+                        //       `fn bar<'a>()     where 'a: 'static
+                        //)
+                        // cannot affect the evaluation of a predicate with no
+                        // free regions. Such a predicate only gives us information
+                        // about some specific caller-chosen lifetime, and does not
+                        // give us any information about any bound regions within
+                        // our predicate (e.g. `for<'a> T: MyTrait<'a>`). Since
+                        // we checked above that our predicate does not include any
+                        // free regions (which includes early-bound regions), we know
+                        // that it's safe to discard a predicate involving only
+                        // early-bound regions.
+                        //
+                        // If a `RegionOutLives` predicate has any late-bound regions,
+                        // we choose to keep it. This might be overly conservative,
+                        // but should be safe in all cases.
+                        predicate.has_late_bound_regions()
+                    }
+                    // If we have a predicate like `T: 'static`, then we need to keep
+                    // it, since it could legitimately affect the evaluation of our predicate.
+                    // For exmaple, we could be evaluating `T: MyTrait`, and find
+                    // `impl<T: 'static> MyTrait for T {}`.
+                    //
+                    // We also keep any `TypeOutlives` predicates involving any late-bound
+                    // regions. This is probably overly conservative, but ensures that we don't
+                    // run into any weird situations with impossible-to-satisfiy predicates
+                    // (e.g. `for<'a> &'a u8: 'static).
+                    predicate @ ty::PredicateKind::TypeOutlives(outlives) => {
+                        *outlives.1 == ty::ReStatic || predicate.has_late_bound_regions()
+                    }
+                    // We assume that all other bounds can potentially affect
+                    // the evaluation of our predicates, so we keep them
+                    _ => true,
+                })
+                .collect();
+
+            // Replace the `ParamEnv` with a new one, which differs
+            // only be the removal of some of the caller bounds. This will
+            // allow us to use the global cache in more cases.
+            obligation.param_env = ty::ParamEnv::new(
+                self.tcx().intern_predicates(&new_bounds),
+                obligation.param_env.reveal(),
+                obligation.param_env.constness(),
+            );
         }
 
         let stack = self.push_stack(previous_stack, &obligation);