Whakaotihia te rerenga e whai ake nei: I te tau 1993, i tukuna a LaValliere e Pittsburgh, a ka haina i tetahi kirimana me te Chicago White Sox. I riro i te White Sox te taitara o te Rōpū ki te Uru o Amerika, engari i ngaro i te
ALCS ki te toa o te Ao o Toronto Blue Jays. I noho a LaValliere i etahi atu wa e rua i Chicago i mua i tana reti. He kaiako ia inaianei mo te kapa kapa rangatahi me te whakaako i te hopu me te patu i te IMG Academy i Bradenton, Florida.