We face big Sam's men for the second time in a week following Saturday's Premiership clash at the Lane with a Carling Cup third round tie at the Reebok Stadium tonight.
Promoted in 2000-01, Bolton narrowly escaped relegation in both 2001-02 and 2002-03 before the quality of the likes of Okocha, Campo and Djorkaeff took them up to eighth place last season.
Djorkaeff has since left but with the likes of Speed, Diouf, Hierro and Ferdinand arriving, Bolton have maintained and built on last season and currently sit proudly in fourth.
"They've done ever so well since they came back into the Premiership," stated Robbie, on target in the 2-1 defeat at the weekend.
"Maybe a few years ago people would have looked at Bolton as in and around the relegation zone but they've spent the last couple of seasons in the top 10 and deservedly so.
"Sam Allardyce has done a tremendous job. The players he's brought in perhaps you wouldn't expect them to get before but he managed to do it. They have a strong squad with international players and you have to give them credit."
That squad means even if Allardyce opts to rest a few players in the Carling Cup - as he's done in the past - it will still be a tough test tonight.
"On Saturday they had Les Ferdinand on the bench, someone who can come on, score goals and cause a lot of trouble," said Robbie.
"They have players who can do just as good a job as those who started on Saturday. It's a tough game but it would be nice to bounce back from Saturday.
"It's an important competition for us. We had a good result against Oldham in the last round and it's important to go and get another result."
Robbie admitted that although he was delighted to get off the mark in the Premiership on Saturday, it meant little in defeat. "The main thing is football is to win," he added.
"Scoring is great but it takes the edge off to lose. We said before the game in the huddle that the atmosphere was a bit sombre because of what happened on the morning of the game. Rightly so.
"It was up to us to lift the atmosphere. It was tough but when we scored I could see us going on to win the game but it wasn't to be."
Robbie Keane believes Sam Allardyce has shifted expectations at Bolton.