Vieira, who captained the 2003/04 title-winning Arsenal side, believes that Jose Mourinho's side have the potential to match his history-making team.
The Gunner's unbeaten 38-game season consisted of 26 wins and 12 draws, and Chelsea, who have seven wins and a draw from eight games this term going into their Sunday visit to Old Trafford, are also yet to lose.
Asked if the Gunners’ achievement will ever be matched, Vieira said, according to The Mirror: “Yes, of course. Records are out there for teams to beat. I think a team will do better than that, but how long it will take we don’t know? Maybe, Chelsea.
"I think one day that record will be beaten. I think that Chelsea look really promising. They have not specially played well but they keep winning and they look really strong.
“Physically, Chelsea look one of the strongest teams in the Premier League. They’ve got quality in [Eden] Hazard, [Cesc] Fabregas is back to his best and [Diego] Costa is scoring goals. So Chelsea look good.”
The Blues have certainly strengthened during the summer window, with the additions of Spain international Diego Costa and Cesc Fabregas proving to be a masterstroke.
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Costa is currently the Premier League's joint-leading goalscorer, while Fabregas has recorded the highest number of assists, having fashioned an impressive seven goals in just eight appearances.
Whether Chelsea can maintain their unbeaten start remains to be seen. Nonetheless, they have undoubtedly set a precedent as the team to beat.