Those were among the updates coach Rex Ryan provided during his weekly radio show on Buffalo's WGR-AM on Tuesday, a day after a 20-13 loss at New England.
Ryan also said backup receiver Marcus Easley is not expected to play because he is in the NFL's concussion protocol.
Miller was carted off during the first half. Williams did not return after being hurt in the second half.
Bills players were given Tuesday off and return to practice on Wednesday in preparing to travel to play the Chiefs in an AFC showdown between two 5-5 teams in the thick of the playoff race.
Taylor's status is a prime concern for a team that lost both games the starter missed with a sprained left knee last month.
"We'll see how the week progresses," Ryan said, without revealing the exact nature of Taylor's injury. "But I think he'll be ready to roll."
Though Taylor finished the game against the Patriots, he was hampered by an injury to his right shoulder in the final quarter.
Taylor appeared to be hurt midway through the fourth quarter, when he tumbled hard to the ground and landed on his right shoulder after completing a 15-yard pass to Sammy Watkins, who made a remarkable one-handed catch. Watkins was also shaken up on the play, but returned.
While much of the attention was on Watkins, Taylor got up and began favoring his right arm. He kept adjusting his shoulder pads and occasionally held up his right hand to clutch his collar.
Taylor showed no signs of injury two plays later, when he completed a perfectly placed 42-yard pass to Chris Hogan up the right sideline. Taylor however, began flexing his right arm once again.
Taylor then struggled on the Bills final drive, during which he completed 4 of 7 attempts for 30 yards. He also lost the ball while being sacked, though the fumble was recovered by offensive tackle Cordy Glenn.
Ryan acknowledged he was so concerned about Taylor being hurt that he was ready to insert backup EJ Manuel.
"I was close because I asked the young man, 'Listen, don't be a hero here. I want to know you're healthy,'" Ryan recalled. "And he was like, 'Nah, I'm ready coach. Shoot, I'm ready to go.' And that's why he stayed in there."
Taylor finished 20 of 36 for 233 yards with no touchdowns or interceptions.
Taylor, who signed with the Bills in free agency last spring, is a first-time starter after spending his first four seasons as Joe Flacco's backup in Baltimore. Taylor has a 5-3 record.