The 26-year-old Liverpool-born runs out of contract at the end of the season and is keen on moving on after indicating he won’t be extending his deal at the Priestfield Stadium.
Eaves currently tops League One’s goalscoring charts with 13 goals in 19 games, and is on course to beat his last season’s tally of 17 goals in 41 games.
Rangers are in dire need of reinforcements in the striking department after AS Roma’s Sadiq Umar failed to impress upon arriving Ibrox on loan at the beginning of the campaign.