Toronto made its decision on Sunday to put Hill on the DL. The move is retroactive to April 20, and will keep the veteran infielder out of action until at least May 5.
The Blue Jays had been holding out hope that Hill's status would improve before the club's upcoming four-game series in Texas. He went through a series of tests Sunday, but tightness in his leg continued to be a concern.
"We continued to hold out with small amounts of improvement over the past couple of days, and there might be some availability for him today," Blue Jays manager John Farrell told reporters on Sunday.
"But after his early work, we're thinking at this point we're going to have to put him on the disabled list."
Hill suffered the injury while trying to steal second base on April 19 in a 6-5 win over the Yankees. It's a similar injury to the one he suffered during the first week of last season, which also required a stint on the DL.
It has a feeling of "been there, done that" for Hill, who thinks he has a better idea of how to deal with the injury this time around.
"I took a lot of things pretty hard last year and I think I learned a lesson from it," Hill said. "It's not the end of the world going on the DL. Yeah, I did feel good, but you feel great, even better when I come back and get back to stealing some bags and swinging the bat."
Hill is batting .242 with nine RBIs and a team-leading six stolen bases in 16 games this season.
The Blue Jays are also playing without the services of infielder Jayson Nix, who was placed on the 15-day disabled list Saturday with a left knee bruise. Third baseman Edwin Encarnacion remains out of action with a sore left wrist, and is currently day to day.
That has pressed John McDonald and Mike McCoy into starting duty, which leaves veteran Chris Woodward as the only reserve infielder on the bench.