He played in 40 games in the 1987–88 campaign as Notts missed out on promotion by a single point under John Barnwell's tenure as manager.
He played 24 times in 1988–89, but lost his place under new manager Neil Warnock in the 1989–90 campaign and spent a month on loan at league rivals Cardiff City, making seven appearances at Ninian Park.
New Stoke manager Lou Macari moved Kevan into defence in 1991–92, and he played in 57 matches, including in the 1992 Associate Members' Cup final as City beat Stockport County 1–0 at Wembley.
However, this would be his final season as a key fixture in the first XI as the following campaign would prove to be very competitive for central midfield places with Paul Ware, Carl Beeston and Steve Foley all in contention.
[11] He remained in charge until he reverted to his previous role as assistant upon the appointment of Steve Cotterill as manager on 23 February 2010, just seven days later after telling the media he had 'reluctantly' agreed to stay in the role until the summer after chairman Ray Trew reasoned that "Dave's record is fantastic so why change a winning formula?"
[19] He re-joined former club Stoke City in June 2011, taking the position of academy team manager; this was despite signing a new contract with Hereford earlier in the month.
[24] Two months later, he joined Forest Green Rovers as assistant manager following the appointment of his former Stoke colleague, Adrian Pennock, to the managerial role at The New Lawn.
[25] Despite having helped Forest Green to a top-five place in the Conference and with just five games left in the 2014–15 season, he quit the club and re-joined Notts County as first-team coach on 31 March.
[30] Four months later, he accepted an offer to become Carl Dickinson's assistant at North West Counties Premier Division club Hanley Town.
In October 2022, Dickinson and Kevan left Hanley Town by mutual consent due to "increased business costs".