Dibble managed to break his arm in two places and dislocate his shoulder in his clubs 6-1 thumbing by Peterborough, which could bring his career to an end.
Ingham, an ex-Northern Ireland Under-21 international, joined Sunderland from Cliftonville for £30,000 in 1999.
Ingham is expected to go straight into the starting line-up for Tuesday games against QPR at Loftus Road.
Paul Whitfield, 21, is Dibble's understudy at the Racecourse, but Wrexham seem reluctant to expose him.
Does this mean we'll actually see Thomas Mhyre make the bench?