But the FA ruled that the quartet had "failed to show an acceptable improvement in their record" last term.
Bolton, Leeds (fined £15k (£30k suspended), West Brom, Huddersfield, Accrington and Wycombe were fined, with part of the punishment suspended.
Letters of warning were sent to Chelsea, West Ham, Wigan, Ipswich, Queens Park Rangers, Swindon, Brentford, Bradford and Macclesfield.