The two sides drew 1-1 on Saturday afternoon to leave Villa six points from safety.
The Villans travelled to St Mary’s looking to start picking up points as they aim to try and escape the relegation zone.
Things were going positively for them as well as they took the lead through Lescott’s header just before the break.
Southampton hit back in the second with half, though, with midfielder Oriol Romeu scoring the leveller on 73 minutes to set up a nervous close to the game for the away side.
And Lescott admits they rode their luck, but a point will do wonders for their confidence going forward.
“That is massive for morale,” he told BBC Sport.
“We had to stand up to it today and in the first 20 minutes they could have won the game. We rode our luck.
"But we showed grit and determination, the manager wanted more desire from us and we showed that."
The result, however, does still leave Villa stuck to the foot of the table, on six points after 15 games.
They are currently four points away from Newcastle and Bournemouth just above them, with Sunderland, who lost to Arsenal on Saturday, six points away in 17th.
So while the result was a positive one for Lescott’s side, they will know that they need to start picking up points soon to avoid being cut adrift.