Bamford has starred on-loan at League One MK Dons this season.
"We are having a little look around," McClaren told the Derby Telegraph.
"I am pleased with the team, pleased with the squad but maybe it has not got that depth.
"We are going to have a little look at that but, certainly, if everyone stays fit, we have got 15 or 16 players contributing and doing very well.
"What we have done is we have gone for younger players, the likes of Andre Wisdom and Michael Keane, and even Simon Dawkins, who I keep thinking is only 18 or 19, and he is 26.
"So, we have gone for younger players from the top teams and we want that quality.
"We are looking for youngsters again to add to the squad and improve the quality we have got."
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