Harry Arter’s strike deep into first-half stoppage time was enough to sink Forest to their first loss since the restart.
Lamouchi lost Joe Lolley at half-time to injury and influential midfielder Samba Sow was also substituted, as the hectic fixture list seemed to take its toll on Nottingham Forest.
“To play four games in nine days after a three-month stoppage is tough.” Lamouchi said.
“I didn’t make a lot of changes to the team because it was important to start in a good way.
“For me, a draw would have been fairer today.”
Forest had more shots than Fulham (10) despite the visitors dominating possession but Marek Rodak wasn’t really threatened throughout the game.
“Fulham didn’t play so well either and didn’t have many shots on target. Brice (Samba) didn’t have much to do.
“But we didn’t create enough.”.
Lamouchi made all five available substitutions, all five of his starting midfielders made way to try and give Forest some more legs in the middle, but it wasn’t enough as they struggled to break Fulham down.
“I brought five players on, so I changed almost half the team just to try to put fresh legs on.” Lamouchi added.
“But, unlike two days ago (at Derby), it didn’t make a difference.
“After Fulham scored, they didn’t take any risks. They kept the ball and showed their experience.
“It wasn’t a very good game, and of course it was not a good result for us.
“We gave away the goal in the worst moment.
“I have said to the players, we are not a machine. We need to have a good rest, be positive and think about the next one.
Joe Lolley went down injured twice in the first half before being taken off at half-time, he was then seen with an ice pack on his leg as he watched the second half from the stands. There was also concerns over Samba Sow.
“Sow came off not for injury. He just did not have enough physically,” Lamouchi explained.
“Lolley was for injury, unfortunately.
“We will check him tomorrow and see what’s happened.
Preston clash next up
Next up for Forest is a trip to Deepdale and Lamouchi hopes his side can quickly bounce back
“We have to try to get points at Preston at the weekend,” he added.
“It is tough for all players and all teams. When we suffer, we need to be clever and suffer as little as possible, not give anything to the opponent.
“Today it was bad luck, and two days ago it was bad luck as well.
“We need to be positive and try to change that.
“I am disappointed for my players because it is tough and they are a little bit tired.
“We need to think about the next one.
“As I always say, after a victory, we don’t have time to enjoy it. And after a bad result, we don’t have time to complain.
“Preston is not close by – it is minimum three hours away – but we must keep going.”