Liverpool are back in the Champions League for the first time since the 2013-14 season but their campaign got off to an inauspicious start, the Reds drawing 2-2 with Sevilla at Anfield after several lapses at the back.
Man City, meanwhile, maintained their goalscoring form in the Premier League in their Champions League opener against Feyenoord, thrashing Feyenoord 4-0 at De Kuip.
Champions Chelsea, Europa League-holders Manchester United and last season’s runners-up Spurs represent the other three English teams in the competition.
It has been five years since a Premier League side reached the Champions League final, with Chelsea beating Bayern Munich on penalties in 2012. But Van Dijk, 26, believes that could change this year.
When asked which English side would go furthest in the Champions League this season Van Dijk, speaking at the launch of EA SPORTS FIFA 18, told Squawka: “I think Liverpool and Man City maybe.”
On their chances of winning the competition outright, he added: “You never know. It’s always going to be difficult and [it’s] a different style of play – European nights are always different.
“Anything can happen, especially if you are the big English clubs who are in the Champions League at the moment.”
Liverpool are the most successful English team in the history of the competition, winning the European Cup four times during the 1970s and 1980s as well as the Champions League in 2005.
In contrast, Manchester City are yet to win the Champions League with their semi-final appearance against Real Madrid in 2016 the furthest the club has gone in the competition.
Van Dijk, meanwhile, has been injured for almost the entire calendar year, but he came on for ten minutes during Southampton’s recent 1-0 victory over Crystal Palace at Selhurst Park.
Virgil van Dijk was speaking at the launch of EA SPORTS FIFA 18, which is out on September 29th on PlayStation 4, Xbox One and all other platforms. To pre-order your copy, head to https://www.easports.com/uk