The Northern Irish manager has agreed to take over at Anfield and the defender believes it was just a matter of time until their boss was linked with top jobs.
"Once you have a good couple of years, especially with the success we had this year in the Premier League, you expect the manager to be touted for certain jobs," Tate told Sky Sports News
"To be fair, this one that has come up is probably the second biggest club in the country.
"It's one of those things that if it does turn out that he goes there, you can't really blame him to be honest."
|Rodgers to become new Liverpool manager
The former Manchester United defender hailed Rodgers' tenacity and is certain that the ex-Reading boss' man-management will work wonders at the Reds.
Tate continued: "He's a great man-manager, he's a great motivator. To be honest he doesn't settle for second best.
"He'll be one of those people who will walk into Anfield and just be a breath of fresh air to the players and to the whole set-up that's at Liverpool.
"Obviously if he does decide to go we'll be sorry to see him leave, but when he goes into Anfield they'll have a very good manager and I'm sure he'll be successful there."
Swansea’s first-team coach, Alan Curtis echoed Tate’s comments, lamenting the loss of Rodgers as a setback for the club.
"He's been fantastic for us and we wish him all the best," he said
"There was always going to be the day when Brendan was lured away by one of the bigger clubs but we were probably hoping it was going to be in 18 months to two years, even. So to lose him now, if the reports are true, is a huge blow."
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