Taylor's current deal is due to expire at the end of the season, and having spent the first half of the campaign on loan at Watford, the 24-yearold came close to leaving the Riverside permanently last month.
Boro officials turned down two separate bids from the Hornets, with Mowbray attempting to persuade Taylor to sign an extended deal with the Teessiders, rather than leave the club as a free agent in the summer.
Talks have gone well, and with Taylor set to continue in his new left midfield role when Boro travel to Crystal Palace tomorrow, it is hoped a new contract will be finalised and signed next week.
I would hope that would get resolved very quickly,
said Mowbray.
Hopefully, we're not far away from that, and we'll have something to announce in the next week or so.
We've been talking and Andrew knows what I think about him. There's no other club involved now the Watford situation doesn't exist any more.
I like Andrew Taylor. I like the care he takes with the football and I think he's an excellent technician who is always very comfortable on the ball.
I'm obviously hoping he's a part of the football club for many years to come.
The retention of Taylor was one of the major positives to emerge from the January transfer window, along with the arrival of new signings Maximilian Haas and Marouane Zemmama.
On the flip side, David Wheater and Gary O'Neil left the club, although Mowbray accepts it was essential to trim the wage bill in the anticipated absence of a full Premier League parachute payment next season.
If anything, Mowbray would have preferred to move more high earners through the exit door, but last month's departures have nevertheless created an opening for a possible loan signing once the Football League window for emergency loans reopens next week.
We were in a situation where, ideally, we probably needed to do even more business during the window, said the Boro boss.
That didn't happen, so we are where we are.
Moving forward, there's the potential for a loan, or maybe someone on the fringe of things moving on for a while to create a gap for a loan signing.
We have to be mindful of the financial situation though because we probably didn't do quite enough business in the window to address that as well as we would have liked.
Of the players that did arrive, Haas is likely to be back on the bench tomorrow, having been an unused substitute in Tuesday's 2-0 win over Scunthorpe.
Zemmama spent yesterday in Morocco, finalising his work permit and visa before flying back into London this afternoon. He will watch tomorrow's game from the Selhurst Park stands and should be available to make his debut in next weekend's home game with Swansea City.
I think he's probably in a post office in Marrakech getting his visa sorted as we speak, joked Mowbray. He's due to fly back (today), but I don't think he'll be in a position to play against Palace.
If he gets himself to Selhurst Park and watches the game, then he'll get a feel for the team. Then with a full week of training behind him, he should be ready for the following week.
Hopefully, he'll give us something that the team doesn't really have, a bit of creativity in the final third.
(Kris) Boyd, (Leroy) Lita and (Scott) McDonald have built their reputation on scoring goals rather than creating things.
I think Zemmama can bring that extra creativity we've maybe been lacking in one or two games this season.
Boro's injury list remains a source of concern, with nine senior players ruled out of tomorrow's trip to south London. Long-term absentee Willo Flood has returned to training with the development squad, and should join in with the senior sessions next week.
Boro's game at Burnley has been rescheduled for Tuesday, April 19 (ko 7.45pm). The original game, which was due to take place on February 22, was moved because of Burnley's involvement in the FA Cup fifth round.
Source: Northern Echo
Source: Northern Echo