Widespread reports are claiming Suarez will miss the Reds' curtain-raiser against Sunderland at Anfield following a long Copa America campaign that saw the Uruguayan score in the final and pick up the Player of the Tournament award.
Liverpool would be keen to have Suarez available against Sunderland after his impressive showing at the Stadium of Light last season, and Dalglish, contrary to reports, appears willing to give his prized asset as much time as possible to prove his sharpness before the season kicks off.
"Luis will be back next week and we will start thinking about him then," Dalglish said. "He's had a fantastic summer as an individual and as a team player.
"We'll see how he is when he comes in. We can't predict how he is going to be like, but he should be pretty happy with himself and pretty confident looking forward to the start of the season."
Suarez will return to training on Monday before being assessed by both the Liverpool manager and the club's medical staff.