Arsenal take on Tottenham in the North London derby at the Emirates Stadium on Sunday.
Liverpool have been in good form this season with a number of impressive results seeing them rise to third in the Premier League.
Walcott has shown some impressive form in recent games.
Keown thinks there is little point in discussing the Arsenal manager's future right now.
Keown was asked about Stones as part of his Tackle Keown column ahead of Everton's clash with Chelsea this weekend.