Klich was substituted in the second half of Leeds' midweek win over Southampton after appearing to injure his back.
Head coach Bielsa said he was being cautious with midfielder Phillips after a calf problem, while defender Robin Koch is not expected to return to training until next week.
Jack Grealish will sit out Villa's trip to Elland Road as he continues to recover from a shin problem.
The skipper missed Sunday's 2-1 defeat to Leicester and while boss Dean Smith hopes he could be available for Tuesday's game against Sheffield United, there is no exact timeframe for the midfielder's return.
Right-back Matty Cash is expected to be out for at least another two weeks with a hamstring injury. Defender Kortney Hause (foot) and forward Wesley (knee) remain on the sidelines although both are close to a return.
Leeds provisional squad: Meslier, Ayling, Alioski, Shackleton, Cooper, Raphinha, Struijk, Harrison, Klich, Dallas, Roberts, Bamford, Hernandez, Costa, Huggins, Llorente, Casilla, Cresswell, Jenkins, Gelhardt, Davis.
Aston Villa provisional squad: Martinez, Steer, Heaton, Mings, Engles, Elmohamady, Targett, Taylor, Konsa, McGinn, Luiz, Barkley, Sanson, Trezeguet, El Ghazi, Ramsey, Nakamba, Davis, Traore, Watkins.