The USA international starred during a 10-game spell at Goodison Park in 2010, but Neville thinks the Toffees may have to look elsewhere this time.
"Everyone loved Landon," Neville told the Liverpool Echo. "We enjoyed having him here, and he used Everton running up to the World Cup to stay fit.
"I think that was the only reason he came, or maybe he would have come the year after."
However, the club captain is backing manager David Moyes to freshen up the squad next month.
"I think new signings would give everyone a boost. We need a lift - I think the whole club does in a way.
"We sold a couple of players late on in the last window and brought a couple of players in who are going to take time to bed in.
"I always think in January, particularly since I came to Everton, you can make a difference then.
"I remember we signed Jo a couple of years back and it gave everyone a lift. He scored a few goals, and it's good to see a new face around.
"The manager has done it every January; he has brought someone in. It might not be for money, it might be a free transfer, but he's brought someone in to pick us up."