Successive 4-1 losses to Stoke and Manchester United have left some at the club casting nervous eyes over their shoulders towards the relegation battle.
And the news that striker Christian Benteke has been ruled out for the rest of the season with an Achilles tendon injury has hardly improved the mood ahead of Saturday's Villa Park clash with rock-bottom Fulham.
But Lambert is adamant his side should look up instead of down and sees the six-point gap to the 10th-placed Potters far from unbridgeable as he looks to finish a trying season with a flourish.
Speaking before the extent of Benteke's injury became apparent, Lambert told Villa's official website: "To be ambitious you've always got to look at what's above you to try to catch the teams ahead.
"There's not much in that little group there with West Ham and Stoke.
"I also know it's a tough, tough league and you have to be right on it to get a result. Saturday's game will be no different."
Villa are in far from perfect shape as they prepare to face Felix Magath's Cottagers, who are still stranded at the bottom of the table with bleak prospects of survival.
Besides the absent Benteke, Villa could also be without Gabby Agbonlahor, who is battling to recover from a sickness bug.
But there is better news over Nathan Baker, who has recovered from the foot injury which sidelined him in last week's 4-1 defeat at Old Trafford, while Karim El Ahmadi is also set to return to contention after a thigh strain.
Despite Lambert's insistence on positivity, Villa are not yet safe and the Scot's previous playing experience in Germany means he is fully aware of his opposite number Magath's managerial capabilities.
Lambert added: "His teams are always hard-working sides. I thtink if anyone knows his sides, he wants people to put an honest day's work in.
"I know the way his teams work. I played against Stuttgart when he was manager there.
"He might not have Premier League experience but he's coached some really big clubs in a really big league so he'll know how to handle it.
"To be fair to Fulham, I watched them the other day and they are still a really good side."