The 28-year old goalkeeper, who has been at Craven Cottager since 2008, is being linked with a possible shift to the south coast as the Seagulls look to replace the departing Tomasz Kuszczak.
Stockdale has 12 months remaining on his Fulham deal and is one of four keepers on the Cottagers' books but Magath is happy for him to remain in west London if the club's chief executive wants to retain his services.
"You have to ask Alistair (Mackintosh)," Magath told the Fulham Gazette.
"We have four goalkeepers and that situation I'm very happy with."
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