He enjoyed a 46% success rate in the group stage, correctly guessing the outcome of 22 of the 48 games.
Lawro was speaking to BBC Sport's Chris Bevan in Moscow.
A Belgium team featuring numerous same stars lost by the same score to Argentina in the World Cup quarterfinal four years ago and then was shocked 3-1 by Wales in the European Championship quarterfinals two years ago. Not even in my wildest dreams, and I am a big dreamer, would I have imagined this.
"Want to say a special thank you to the whole country for the support we've received so far", wrote the Tottenham man.
Brazilian Mario Zagallo won the 1958 and the 1962 World Cups as a player and then coached Brazil to the 1970 title, while Franz Beckenbauer was captain of West Germany in 1974 and led them to the world title in 1990 as their coach. "We are used to seeing these playmakers who stop the game". I think the Belgian footballer is quite unique - technically-gifted player with an incredible footballing brain.
That goal was a timely one for both the collective and the individual, who had seen his place come under question from some quarters earlier in the tournament.
"I am here with them today to write a new page in history, the most attractive page".More news: Minnesota's U.S. Senators weigh in on Supreme Court Justice replacement
I was at both of Croatia's matches in the knockout stages - their penalty shootout wins over Denmark and Russian Federation.
"I think England is fresher, has younger players, had a easy group phase, where they play two easy matches and the match against Belgium they change every player", he told Russia Today.
Harry Kane has all but secured the Golden Boot after scoring six goals (three from the penalty spot, plus another conversion in the shootout triumph over Colombia) in the Three Lions' first five games, but it was set-piece and aerial dominance that helped Gareth Southgate's side past Sweden in the quarterfinals on Saturday.
I just have a feeling that England will find a way to win. "It has a slightly different feel for me, but it's nice to hear people enjoying it again".
While England's results have been a lot better than their performances, that is not a bad thing in a tournament like this.
"This is just one more step, albeit a very important one".
"I was here last summer for the Confederations Cup, and it was exactly the same, there were a lot of stories going into the tournament that I knew weren't going to be true, and that's proved to be the case", former England worldwide Southgate added.