The American is unhappy at Llorente's form of one goal in 10 appearances and warns he must do more at the Liberty Stadium.
Swansea City manager Bob Bradley
Bradley is losing patience with the Spaniard's poor performances but has offered him the chance to redeem himself at the Liberty Stadium by working his way back into contention.
Llorente has struggled to settle in South Wales with a solitary goal in 10 appearances for The Swans.
With fellow Spanish summer signing Borja Baston also looking out of his depth, Gylfi Sigurdsson started as the furthest man forward in the 1-1 draw against Everton.
Midfielders Sigurdsson and Leroy Fer lead the Swansea scoring charts with four goals apiece and even youngster Oli McBurnie has more goals than Llorente with two in the League Cup.
With Swansea deep in a relegation battle and propping up the rest of the table, Bradley has challenged Llorente to improve to steer the club to safety.
“Fernando has a future here, he is a good man,” said Bradley according to Wales Online. “I had a very good conversation with Fernando when I told him he would not be in the squad for the Everton game.
“Before he arrived he’d had a stretch of injuries. I’ve watched him plenty, I felt we’d made strides with him physically, but he still wasn’t where he needed to be.
Swansea City's Fernando Llorente speaks to Swansea City manager Bob Bradley before coming on as a substitute
“I felt that specifically against Stoke and Man Utd. I felt as a team, we didn’t do a good job of how we used Fernando and I don’t think Fernando did a good enough job of moving in those games, of challenging defenders with his movement.
"There’s still a higher level to come from him.”
The 31-year-old looks a long way off from the striker that shot to fame at Athletic Bilbao and even at Juventus, Llorente struggled to command himself in Turin.
He failed to hit take advantage of what was a rampant Juve team, with just 27 goals in 92 appearances, but his brother and agent believes a return to Serie A is in the offing, commenting to Italian publication Tutto Mercato Web that all is not well at Swansea and the former Sevilla striker could look to move.
Manchester United assistant manager Rui Faria and Swansea City manager Bob Bradley
Bradley was understandably unimpressed at the comments, with Wales Online reporting him saying : “It does annoy me when agents speak out about players, but without having been there, I can’t really tell you (what was said).
“I do have one-on-ones with the players where I say to them the door is always open and it’s important your agent can give me a call.
“But, it’s a player’s responsibility to control the agent. An agent is still working for the player. I’ve told many players over the years that’s their responsibility."
Swansea City's Fernando Llorente celebrates scoring their first goal
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