The 23-year-old English defender is set to sign for the Gunners this week from Brighton and Hove Albion for a fee of roughly £50 million.
White Campbell is impressed with young White as a defender, he has concerns about the transfer fee.
Speaking on talkSPORT, he said: "It needs to work out because Arsenal are not in the position to shift out £50m for a player. He'll definitely have to start.
"If it does happen and the medical is all good, he'll have to hit the ground running. It's a difficult one, it's a lot of money.
"They're looking at the years ahead and they see a future. He can play in midfield or as a full-back.
"At £50m, you've got to be the master of your position."
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