The 24-year-old has risen through the ranks at Villa Park since 2009 but his progress has been hampered by injuries in the past two seasons, leading to a loan spell at Wigan this season.
The former England Under-21 international impressed for Villa against West Ham on Saturday, and with Albrighton's contract set to expire in the summer, Lambert confirmed he is planning to discuss a new deal with the midfielder.
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"I'll definitely sit down and talk to [Albrighton]," Lambert said. "It's just the way things have worked out with games, his injuries, one after the other, but I know he's out of contract, so I'll sit down with him.
"Every time he has come on for me he has done well. He's just been really unlucky with his injuries which have kept him out for a long spell.
"But he was excellent on Saturday. He put some great balls in, he hit the post and set up the chance for Christian Benteke when he hit the bar. He was a plus point, the one really bright spot for us."
Defeat against West Ham leaves Villa just four points above the relegation zone, but Lambert pointed to last year's successful fight against the drop as motivation to stay up this time around.
"There are two ways to look at it, it will either take you under, or you thrive on the challenge," he added.
"It's the same as last year. You either meet it head-on or it takes you under.
"We came through last year when we were in a worse position than now, so we will come through this one.
"If you look at it everybody is capable of beating everybody else, with one win taking you up the table, one defeat dropping you down. That is the way it is at the moment."