The Daily Star says Liverpool manager Rodgers is a huge admirer of the 23-year-old centre-back.
Pearce is out of contract next summer but is still in talks with the Royals. And boss McDermott knows he could lose the Republic of Ireland international in a cut-price January swoop by the Kop boss.
McDermott said: "I want him to sign and he has to make a decision, but January is coming.
"If the two parties can't agree a deal, then what can you do?
"I never get involved in the money side of things. But it's not a case of take it or leave it."