The Robins face a crucial trip to Scours Lane on Saturday (3pm ko) for their final match of the season.
Bracknell are currently second bottom in the table with 28 points - two ahead of Fairford Town and trailing Witney Town on goal difference.
They would have to win at Reading and hope results from Fairford Town and Witney Town, who both have games in hand, go their way over the next fortnight.
So Reading will be expecting a tough test from a side that are literally playing for their survival. A good crowd is expected to turn out in support.
Reading meanwhile are having a strong end to the campaign and are currently eighth in the league with 64 points, level with Binfield, who have played one game less.
Before Monday, they were on a nine-match unbeaten run that stretched back to the end of February.
However, Mark Bartley's men couldn't make it 10 unbeaten after a 50th minute goal proved decisive away at Wantage Town.
Last Saturday Reading Town hosted Ascot United for the visitors' final game of the season and won 3-1 at Scours Lane.
The Yellamen were the first team in the league to reach the 40-game mark.
Jeff Lamb's side were 3-0 down before they mustered a reply after 68 minutes through Tom Nugent.
The result leaves them with 44 points in Lamb's first ever season in management.
Jamie Piercy struck for Reading Town in the 21st minute and that was enough to maintain the lead going into the break.
Five minutes into the second half, however, Ascot found themselves two goals down thanks to Ben Gladwin, and with a mountain to climb.
Piercy then grabbed his second of the game on the hour mark.
Phillip Nugent's 68th minute strike proved a mere consolation for the visitors against a strong Reading Town side.
Bracknell are once again urging fans to make the short journey to Reading, and joint manager Steve McClurg said: "It's always great to have support, The players responded really well to it, it really helps to have a crowd behind you - it's infectious.
"People put themselves up last week and they were rewarded with the result. If people can get to Reading on Saturday, it will be appreciated."