Vardy is a free agent after leaving Leicester City but his next move is unclear as things stand.
The 38-year-old has been linked from everyone from Valencia to Wrexham in recent weeks, with former Manchester United goalkeeper Ben Foster even claiming Newcastle should make a move for the ex-England international as they plan to bolster their squad for the Champions League.
Sunderland are now preparing for what looks set to a busy summer on Wearside after last week’s play-off final success, and their former boss Poyet thinks they should keep tabs on Vardy’s situation.
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“Jamie Vardy is definitely an option for Sunderland, but he needs space to operate in,” he said.
“It also depends on how Sunderland want to play, and that is for the coach Regis Le Bris to decide. For example, whether they want to focus on being defensively strong or hold the ball.
“If you think about the player-side of the transfer, Vardy likes his social life and might prefer a move to America rather than Sunderland; it depends on what he’s looking for at this stage in his career.”
Wilson Isidor and Eliezer Mayenda both reached doubled figures this season but Poyet thinks Sunderland chiefs still need to make sure they have enough firepower as they target Premier League survival.
He told BetBrain: “It’s difficult to find a player that is going to score goals regularly for you in the Premier League. There are many players that can score between 15-20 goals in the Championship, but once they get to the Premier League, they’re up against the best defenders in the world and might manage eight or nine goals in a season – which isn’t bad – but who else is going to get the rest?
“You can be great defensively and play the ball nicely, but you need to score goals as a team. Everyone wants the ‘special’ player who scores the goals, but they’re a rarity. How many times do we talk about a replacement for Harry Kane, at Tottenham and England? That type of player doesn’t come around very often, and it’s rare when they do.”
