EDEN PRAIRIE, Minn. -- Minnesota Vikings running back Adrian Peterson is likely to play with a hamstring injury on Monday night against the New York Giants, coach Leslie Frazier said on Saturday. Peterson missed practice on Friday, but was back at practice with the team on Saturday and will be listed as probable for the game, Frazier said.

"He practiced well today," Frazier said. "That was encouraging."

Frazier said offensive tackle Matt Kalil will be listed as questionable with back tightness. Though Kalil said he expects to play on Monday if he doesn't have any setbacks, he will need to wait and see how he feels on game day before making a final determination.

Kalil is listed as questionable on the Vikings' injury report.

"I'll see where I'm at Monday, and see if I can play. I can judge that, if it's going to hurt me or if I can play," he said. "From the way I felt yesterday and the way I felt today, if it keeps progressing, I'm pretty confident in Monday."

In other Vikings injury news:

• Cornerback A.J. Jefferson was listed as doubtful with a sprained ankle, but Frazier said the Vikings plan to hold him out on Monday. It will be the second game he's missed in the Vikings' past three, and the decision means Jacob Lacey, who re-signed with the team this week after getting cut at the end of training camp, will likely be active.

• Kicker Blair Walsh (left hamstring) and cornerback Xavier Rhodes (ankle) returned to full participation on Saturday. Both are probable for Monday.

• Wide receiver Rodney Smith, who was elevated from the practice squad to the active roster this week, will likely miss Monday's game, Frazier said. Officially, Smith is questionable with a hip injury, but Frazier said Smith was likely to be among the Vikings' inactives anyway.

• Defensive end Jared Allen was limited for a second straight day with an ankle injury, but is probable for Monday.