Steven Gerrard will hold further talks with Rangers this week having confirmed his interest in succeeding Graeme Murty as manager at Ibrox.
Gerrard, the former Liverpool and England captain, has held initial discussions with the Scottish Premiership club, who sacked Murty on Tuesday.
It would be a first senior managerial post for Gerrard, 37, who has spent the past year in charge of Liverpool's Under-18s.
Asked about recent speculation linking him with Ibrox, Gerrard told BT Sport: "Yes, there is truth in the rumours.
"I've held initial talks with Rangers and the plan is to pick them up in a couple of days' time. We'll see.
"There is (interest). I've held positive talks with them.
"I'm busy now for a couple of days but I will pick it up on Thursday and we'll see if we can progress it."
Gerrard will be in Italy on Wednesday working as a TV pundit for Liverpool's Champions League semi-final against Roma.
Rangers have said they hope to be able to announce news of Murty's successor "in the near future".
The club decided to end the tenure of their former Under-20s coach in the wake of Sunday's record 5-0 league loss to Old Firm rivals Celtic.
Murty had been appointed until the end of the season having initially taken charge on a temporary basis after the departure of Pedro Caixinha last October.
He leaves the team third in the table, but above fourth-placed Hibernian only on goal difference.
Assistant coaches Jimmy Nicholl and Jonatan Johansson have been put in temporary charge ahead of Saturday's home game with Kilmarnock.