Running back Charcandrick West and defensive end Kendall Reyes didn't practice as well.
Chiefs coach Andy Reid said he thought Johnson's soreness would "be OK by game time."
Ford has started all 10 games for the Chiefs this season, with 32 total tackles and 10 sacks.
West is going through the concussion protocol, while Reid said Reyes "had a little bit of swelling on his knee."
Reid isn't fazed.
The defensive backs each have five picks. Peters, the reigning Defensive Rookie of the Year hadn't missed a game over his career until last week.
Peters, a second-year corner out of Washington, leads the league in interceptions with New York Giants' Landon Collins and San Diego's Casey Hayward.
Poe wasn't practicing because of the knee injury.
Ware took the majority of Kansas City's carries against Tampa Bay, rushing 17 times for 69 yards.
Through all the injury issues, comes some good news: starting cornerback Marcus Peters practiced Wednesday.
Going into the Week 11 matchup against Tampa Bay, he led the league in sacks. He left the game against the Buccaneers without a sack and is tied with Buffalo's Lorenzo Alexander and Seattle's Cliff Avril.

KANSAS CITY, Mo. (AP) — The Chiefs hope to get at least some of their injured players back for Sunday night's showdown at Denver.
Reid said on Wednesday that Maclin is making progress, but didn't give a timetable for his return.
Reid isn't sure if Ford's hamstring strain is an injury that puts him out for the long term, or if it's something he'll bounce back from quickly.
After missing Sunday's game because of a hip pointer, Reid said the coaching staff was going to keep a close eye on him and his reps during Wednesday's practice.
Since Maclin has been out, wide receiver Albert Wilson has started in his place. Wilson caught eight passes for 44 yards in his past two games.
But as of Wednesday, the prognosis for their return was still unsure.
Ford watched practice from the sideline in street clothes.
"Three weeks ago, we'd have loved to have Justin (Houston), but it is what it is. ... We can't cancel. We can't completely change our system, so we adjust."
As for the other starters, a lot is left to be determined.
"I think we'll be all right," Reid said. "When it's all said and done,Authentic Adidas Hockey Jerseys China, I think we'll be OK."
"The team on the field is the team," Chiefs defensive coordinator Bob Sutton said. "We don't get any breaks. ... We'd love to have them all.
Five starters, including linebacker Dee Ford (hamstring), wide receiver Jeremy Maclin (groin), nose tackle Dontari Poe (knee), Jaye Howard (hip), and linebacker Derrick Johnson,Cheap MLS Jerseys, all didn't practice.
"We're literally taking it day to day," Reid said. "You talk to him and he's upbeat about everything,Cheap Jerseys Free Shipping, so we'll just have to see how it goes."
Maclin has been sidelined with a groin injury since Week 9. He left Kansas City's game against Jacksonville in the first quarter,Cheap Jerseys China.
The Chiefs and Broncos are tied for second in the AFC West at 7-3,cheap nfl jerseys, a game behind Oakland.
If West isn't cleared to play Sunday, that leaves the Chiefs with two healthy running backs in Knile Davis and Spencer Ware to take on Denver's stout defense.
Regardless of who's on the field, it's the next man-up mentality for Kansas City.