The Reds were on course for third spot in the Premier League until Michael Obafemi's 96th-minute equaliser, which came when both defenders were on the sidelines.
Shaw drove into the box to collect a Marcus Rashford pass and appeared to hurt his ankle, while Williams sustained a nasty-looking gash to his head following an aerial collision with Kyle Walker-Peters, when bravely nodding the ball away.
“Luke twisted his ankle,” said the manager, at his post-match press conference. “Hopefully, we can have some good news on him after we've done a scan.”
“In a separate interview with MUTV, Ole added: “I can't say [really], I've not seen Brandon because he was with the medical staff and I think he was getting some stitches with a gash over his eye.