A source told The Times a deal still could get done by the beginning of training camp. If not, the possibility that Wilson could play out his contract and force the team to potentially slap an exclusive-rights tag on him for 2016 would rise.

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RENTON — For a second, it sounded like a potential news flash when Seahawks coach Pete Carroll on Tuesday characterized contract talks with quarterback Russell Wilson as “very close.’’

Carroll, though, quickly paused and repeated the statement to make clear that he was referring to the nature of the discussions themselves and not where the two sides are in terms of progress toward an extension.

“We’re very close in our conversation and exchanging our process through this,’’ Carroll said. “The communication has been great.’’

Carroll, though, declined to say if he expects a deal to get done before training camp begins in late July.

“I don’t know that,’’ he said. “Not talking about that right now.’’

Wilson is under contract for the 2015 season, due to make just over $1.5 million on the last year of his initial four-year rookie contract. The team would like to sign Wilson to a long-term extension. Depending on the day and the source, the gap between the sides ranges from gargantuan to nothing that can’t be resolved quickly.

A source told The Times a deal still could get done by the beginning of training camp. If not, the possibility that Wilson could play out his contract and force the team to potentially slap an exclusive-rights tag on him for 2016 would rise.

Carroll said he did not worry about how Wilson would deal with potentially playing the 2015 season with his contract situation unresolved.

“I think as much as anybody can deal with it, Russell will,’’ he said. “We have talked a lot about the process of it and all that, the expectations. He’s had a great offseason. He has looked incredibly in shape and faster than ever and all that. He’s worked great on the field when he’s been with us. He’s really set his mind to it. The proof is in the action he can put out there. He’s on it.

“So hopefully we get something done. But if we don’t, we’ll just have to deal with it.’’

Draft picks Clark, Lockett sign

The Seahawks on Tuesday afternoon announced they had signed draft picks Frank Clark and Tyler Lockett, meaning all eight of their 2015 draft picks are under contract.

Rookie contracts are slotted, meaning there is no negotiating as far as years and total value.

According to overthecap.com, Clark’s four-year deal would include a salary of $678,586 for his rookie season in 2015 and would be worth $3.73 million over the four-year deal. That includes a signing bonus of $974,344. Clark, who played at Michigan, was taken with the No. 63 overall pick of the second round.

Seattle traded three picks to Washington to move up to the No. 69 overall spot in the third round to take Lockett, a receiver from Kansas State also expected to be the team’s kickoff and punt returner. Being taken in that spot means Lockett would be due a four-year deal worth a total $3,066,752 with a signing bonus of $786,752 and a first-year salary of $631,688.

Seattle earlier had signed its other six picks in the 2015 draft: OL Terry Poole, OL Mark Glowinski, CB Tye Smith, DE Obum Gwacham, OL Kristjan Sokoli, and SS Ryan Murphy.

Williams to have surgery Thursday

Third-year defensive tackle Jesse Williams will have kidney surgery Thursday after recently being diagnosed Papillary Type 2 cancer.

“His attitude is good,’’ Carroll said of Williams, who attended Tuesday’s OTA, watching from the side. “It’s been a hard couple of weeks since he got the news. But now that it is coming to gametime, he is ready to go and talking about bouncing back quickly and getting back on his feet and going again. I wouldn’t expect any less of Jesse. He’s a battler all the way.

“He’s been up against it, too. He’s fought some difficult fights (Williams has missed the past two seasons because of knee injuries), and he’s fighting another one, and maybe the fight of a young man’s life. We’ll be there with him and hope to pull him through,’’

Williams remains on the team’s 90-man active roster.

Notes

• A few players are real concerns when it comes to being ready for the start of the season.The most questionable might be cornerback Jeremy Lane, who suffered a broken wrist and a torn knee ligament in the Super Bowl.

Carroll said Tuesday that Lane “has got another concern with his arm’’ and added that though his knee is “doing great, his arm is going to take a little longer than we thought to heal.’’ Still, Carroll hopes Lane will be ready for training camp.

Carroll also said receiver Paul Richardson, who suffered a torn knee ligament in the divisional playoff win against Carolina, also could be ready for camp but added that “we’ll be careful there.’’

Carroll said there is no reason defensive tackle Brandon Mebane, who missed the last seven games of the regular season because of a hamstring injury that required surgery, won’t be ready for camp.

Carroll also reiterated that free safety Earl Thomas should be ready for the season. Thomas will sit out OTAs after undergoing shoulder surgery.

• The Seahawks also will hold OTAs on Wednesday and Friday.