He joined Celtic on a one-year deal last week, becoming their second signing.
The 35-year-old joined up with his former Liverpool manager Brendan Rodgers in Glasgow last week after signing a one-year deal on a Bosman.
The former Arsenal and Manchester City defender brings with him a wealth of experience, having won two Premier League titles during his spell down South.
Despite his advancing years, Toure remains a fine centre-back and the Ivory Coast veteran proved as much with a series of superb defensive displays in the second half of Liverpool's 2016-17 campaign under Jurgen Klopp.
That being said, he is only Celtic's second signing of a summer which has yielded Moussa Dembele's arrival from Fulham as their only other recruitment.
There is still time for Rodgers to add more players, however, and Thompson, who spent seven years playing for Celtic, feels that further reinforcements is a must.
"Toure will be good for them. He’s experienced, he’s calm, he’s got a presence but I think they would fancy that they could need one or two more," he told the Evening Times.
Are two signings enough for Celtic to win a sixth straight Premiership title? Possible, but Hoops fans would feel a lot better about the upcoming season had they signed a few more bodies.
Still, there is time in which to do that, but supporters would prefer to see changes sooner rather than later.