The 25-year-old midfielder has been in talks with the Ibrox club having left Norwich City earlier this month following the expiry of his contract after spending the past three seasons at Carrow Road.
Dowell started his career at Everton but made only two first team appearances with most of his first-team experience coming in the Championship via loan spells at Nottingham Forest, Sheffield United, Derby County and Wigan Athletic.
The former England U21 international left Everton to sign for Norwich in 2020, and made 65 appearances for the Canaries, including 19 in the Premier League, scoring 11 times, but he is now set to become part of Michael Beale's summer rebuild at Rangers.
Beale told supporters to expect a new arrival to be paraded against Hearts, stating: "One might be announced on Wednesday at Ibrox so there’s another reason for people to maybe come along and see us in midweek."
Dowell was already strongly rumoured to the player in question now respected Norwich podcaster Chris Reeve has claimed he will be officially announced as a Rangers player on Wednesday night.
He tweeted: "Former #NCFC midfielder Kieran Dowell is set to be officially announced as a #Rangers player tonight, I’ve been told. Go well, Dowelldinho!"