Chase returned to practice on Wednesday having not played since the Week 7 win over the Atlanta Falcons.
The hip injury had initially been expected to sideline the 2021 NFL Offensive Rookie of the Year for four to six weeks.
"We expect him to play," Burrow told reporters. "I know he ran yesterday and he felt good. So we'll see how it goes the rest of the week."
Bengals head coach Zac Taylor was confident that Chase would be available, labelling him day-to-day.
"He's done all the things we've asked him to do," Taylor said.
"He has done a great job with the trainers in there. Everything has been positive to this point."
The Bengals, who lost last season's Super Bowl, have rallied to 6-4 from an 0-2 start to the season.
Chase has scored six touchdowns on 47 receptions for 605 yards in seven games this season. The 22-year-old scored 14 touchdowns in his rookie year last season.