That is according to journalist and broadcaster Ian Abrahams.
Chelsea have made two bids for Celtic keeper Gordon but are yet to have one accepted.
Last week it was reported Stockdale was on Antonio Conte’s wishlist.
“I understand that Chelsea will turn their attention to David Stockdale”
Ian Abrahams on Chelsea target David Stockdale
And ‘The Moose’ Abrahams has claimed a move could be made.
“I understand that Chelsea will turn their attention to another goalkeeper,” he said on talkSPORT.
“It’s goalkeeper who plays for a team at the top of the Championship.
“They could go for Brighton keeper David Stockdale.
“That’s if they miss out on Craig Gordon.”
Chelsea are looking for a keeper as Asmir Begovic wants to leave for Bournemouth.