There has been reported interest in Luke Shaw but the club would have to wait and see on that front.
"Some negotiations are going on".
Sturridge has 75 Premier League goals across 194 appearances during the course of his career, which eclipses Walcott's record of 65 strikes in 269 matches.
"In this window, or in any window, you don't get too optimistic because so many things can happen in a short space of time".
Ferdinand says Walcott needs a manager like Allardyce to give him the confidence and has backed a move to Goodison Park.
"I can not give him assurances as it is not honest", he said when asked if he was going to give Walcott more chances in the second half of the season. We have a good relationship.
"Theo went to the WorldCup in Germany in 2006 and we are now in 2018, and he has not been since [back to the World Cup], for different reasons".
Sanchez, who Arsenal are growing resigned to losing this month, stepped off the bench, but Walcott was once again a spectator.
Several clubs have enquired about a loan deal for Walcott, 28, but Arsenal will only consider a sale - otherwise he will stay until the summer.
Wenger straight-batted questions about their interest in Friday's news conference.
But Wenger had no news on a potential deal and said: "I can not tell you much more".
"He's a good player, but at the moment nothing is happening", he said.
"Because Arsenal have got to find what we are losing at the moment".