The dynamic striker, instrumental in Uruguay's Copa America victory this summer, may be ready to return to club action sooner than expected, with Saturday's league opener possible
The Uruguayan has only recently returned to Anfield after his exploits in the Copa America this summer, and was previously considered unlikely to play any part in the fixture.
But Dalglish told the club’s official website: “He's trained and has no problem. We'll wait and see how he is tomorrow.
“We'll also see how Glen Johnson is in the morning.
“Obviously Steven Gerrard and Martin Skrtel aren't there and they are the only two.
“Everyone has come back from the international matches fine.”
On the day when the Reds completed a deal for Newcastle left-back Jose Enrique, their fifth signing of the summer, Dalglish was noncommittal on the possibility of more purchases.
“The most honest answer is I don't know because we don't know if there is going to be movement in or out," he said. “Other factors will decide that.
“We are delighted with who we have brought in we think it helps the squad and the supporters look forward to it a bit more.
“We had to improve the squad that we had and that's the important thing.
“I think we've improved the squad and I think people would have been disappointed if we hadn't.
“We are happy with the business we have done and look forward to the start of the season like everybody else.
“Every club is exactly the same as us and has high expectation before a ball has been kicked.
“We just hope we can fulfill the expectation. But at the same time we will try to remain realistic and concentrate on one game at a time and see where that takes us.”
The Scottish manager admitted that he could not wait for the Premier League to finally get going.
“We are all excited,” he said. “Everybody looks forward to it.
“I suppose it's a wee bit like Christmas Day for the kids isn't it?”