Reports suggest the Reds will require £4 million to sign the 30-year-old right-back from Benfica.
The 30-year-old's contract expires next summer, meaning Brendan Rodgers' side could wait until then to sign him for free and replace Glen Johnson, whose contract is also up at that time.
However, according to the Daily Mirror, Benfica have quoted Pereira's asking price for a January move as £4 million.
That means the Reds could guarantee his signature with an early transfer, although they would face competition for the right-back.
If they do intend to replace Johnson with the Urugayan, though, perhaps an early deal is best. But there are a few potential drawbacks.
Pereira, at 30, is the same age as Johnson, so may not have much of a re-sale value. He is also, by all means, an attacking full-back much like Johnson. Would he really be the answer defensively for Liverpool?
Still, if Rodgers and his scouting team - though they have been wrong many times before - feel Pereira is a significant upgrade on their current man, they now know how much they have to pay if they want to land the defender in January.