Hungarian striker Nemeth has joined Championship side Blackpool on loan for a month, while Lindfield has linked up with Accrington Stanley on loan until the end of the season.
Nemeth is highly rated at Anfield and helped the club's reserves win the title last season.
Lindfield, who has come through Liverpool's youth ranks, has enjoyed spells out on loan at Notts County, Chester and Bournemouth in the last few seasons.
Both players are well down the pecking order at Anfield and Reds boss Rafa Benitez is willing to loan them out so that they can get some valuable first-team experience under their belts.