The 24-year-old left-back looks set to feature for the Swans' under-21 side against Millwall on Monday night and could be in contention to face Southampton at the weekend
The 24-year-old has been out of action since September 1 last year after suffering a dislocated and fractured ankle following a challenge with Sunderland midfielder Craig Gardner.
The Welsh international was a permanent fixture in the side under former manager Brendan Rodgers in both the Championship and the Swans' first season in the Premier League but this campaign has been ruined by injury.
Swansea manager Michael Laudrup has offered his support to the left-back and has backed him to return stronger than ever.
|14/1||Swansea are 14/1 with BetVictor to beat Southampton 2-0|
"After that it will just be about getting back up to Premier League level.
"It's good for him. He is looking forward to coming back and I think we will see him in the first team before the season ends. That is our plan at least."
Taylor could be in contention to face Southampton at the weekend should he come through the U21s game with Millwall without any setbacks.
"When Neil comes back and plays some games and feels he is not worried about going into a tackle, he will be stronger," the Dane added.
"I mean as a person as much as a player - you always get stronger when you go through negative things and come out the other side, and Neil will be mentally stronger."