The future annotations of MultiLisp provide a simple method for taming the implicit parallelism of functional programs, but require touch operations at all placeholder-strict positions of program operations to ensure proper synchronization between threads. These touch operations contribute substantially to a program's execution time. We use an operational semantics of future, developed in a previous paper, to derive a program analysis algorithm and an optimization algorithm based on the analysis that removes provably-redundant touch operations. Experiments with the Gambit compiler indicate that this optimization significantly reduces the overhead imposed by touch operations.