Meyler (pictured) missed the closing weeks of last season after suffering a knee ligament injury, but new Head Coach Slutsky is confident that the midfielder will be back in training in around three weeks.
Slutsky has also offered updates on two long-term injury victims, Ryan Mason and Will Keane. Mason is recovering after fracturing his skull against Chelsea in January, while Keane is on the way back from a serious knee injury.
“Ryan is between two groups at the moment,” said Slutsky.
“He is doing some technical parts of the training sessions with the main group, and other parts of training he is doing outside of the group.
“That is a normal situation for somebody in his position.
“With Will, we are looking at him coming back in October. He has had a very serious injury.”
Like Mason, a timeframe for a return to action for Moses Odubajo is also unknown following a recent visit to a consultant. Odubajo has been on the sidelines for a year after dislocating a kneecap last July and suffering a setback in November.