NEW : The campaign could wrap up by early June , GOP senator says . Republicans promise close looks at Trump 's record ; one says filibuster unlikely . Kagan has argued several high - profile cases before the Supreme Court . Conservative critics say she is too inexperienced to serve on the high court .
NEW : Kagan hearings could wrap up by early August , GOP senator says . Republicans promise close look at Kagan 's record ; one says filibuster unlikely . Kagan has argued several high-profile cases before the Supreme Court . Conservative critics say she is too inexperienced to serve on the high court .