Wrinkle-resistant adhesive construction

A multilayer PSA construction includes a facestock, a hazy, first adhesive layer adjacent the facestock, and a PSA layer adjacent the first adhesive layer, and is protected until use by a release liner. The first adhesive layer includes an immiscible blend of a first elastomer having a first glass transition temperature and forming a continuous phase, and a second elastomer forming a discontinuous phase. The second elastomer has a glass transition temperature greater than the first glass transition temperature. The first adhesive layer also contains a tackifying component, which is preferentially soluble in the discontinuous phase. The PSA layer has a composition different from the first adhesive layer and is formed of at least one tackified elastomer that provides a measurable third maximum glass transition temperature, which is less than the second glass transition temperature. The multilayer PSA construction exhibits reduced migration of tackifiers and plasticizers over time.