He stayed in Laholm until 1998 when he signed a contract with Halmstads BK.
At the arrival of the Finnish keeper Magnus Bahne in 2007, he saw himself yet again become second choice.
When Bahne was injured during the 2007 season Conny was made first goalkeeper, being the only one available since Sahlman was on loan at Trelleborgs FF, until David Loria was brought in.
On 19 September 2008 Conny announced on Halmstads BK's homepage that he would leave the club at the end of the season, making him the oldest goalkeeper in the club so far, beating earlier Rune Ludvigsson by about six months.
This biographical article related to an association football goalkeeper from Sweden is a stub.