Tuilagi limped off early in England's shock 24-17 loss to France in Paris due to a low grade strain that also kept him out of the Calcutta Cup win over Scotland the following week.
England are fourth in the standings with five points while Ireland are second with nine and former Wallabies coach Jones has retained 27 players ahead of the match at Twickenham.
"He's good," Australian Jones said when asked about Tuilagi's
"(He) trained fully today so he should be in contention for selection.
It's good to have a quality player back."
England prop Mako Vunipola is not in the squad after he travelled back to Tonga for family reasons but Jones said his team would cope.
"He's a quality player but we're lucky we're blessed with two outstanding loosehead props in Joe Marler and Ellis Genge," Jones added.
"We can certainly cover the loss of Mako but it is disappointing to lose him."
England squad: Forwards: Luke Cowan-Dickie, Tom Curry, Tom Dunn, Ben Earl , Charlie Ewels, Ellis Genge, Jamie George, Maro Itoje, George Kruis, Joe Launchbury, Courtney Lawes, Lewis Ludlam, Joe Marler, Kyle Sinckler , Will Stuart, Sam Underhill. Backs: Elliot Daly, Owen Farrell, George Ford, George Furbank, Willi Heinz , Jonathan Joseph, Jonny May, Henry Slade, Ollie Thorley, Manu Tuilagi, Ben Youngs.