Dhameystir weedha soo socota: 1987, Palmer wuxuu la hadlay maamulaha McLaren Ron Dennis oo ku saabsan inuu noqdo darawalka 2aad ee kooxda si uu u labo laabto Horyaalka Adduunka Alain Prost. Dennis ugu danbeyntii wuxuu saxiixay Stefan Johansson, Palmer wuxuu Tyrrell ku biiray usbuuc kahor tartanka furitaanka xilli ciyaareedka ee
Dalka Brazil. Inkastoo ay ka gaabisay tartamayaasheeda turbocharged, baabuurka Tyrrell ee si dabiici ah loo soo jiito ee Cosworth-ku shaqeeya ayaa cadeeyay inuu yahay mid la isku halleyn karo, wuxuuna ahaa mid jilicsan oo ku saabsan wareegyada cidhiidhiga ah. Palmer wuxuu ku guuleystay dhibco horyaalnimada saddex tartan, waxaana ku jiray Australian Grand Prix in uu gaadhay xirfadiisa ugu fiican ee kaalinta afaraad. Wuxuu sidoo kale ku guuleystay Jim Clark Cup, horyaal loogu talagalay wadayaasha gawaarida caadiga ah ee la nuugo. Wuxuu la sii joogay Tyrrell labadii xilli ciyaareed ee xigay, inta lagu gudajiray natiijooyinkiisii ugu fiicnaa waxay ahaayeen laba kaalinta 5aad iyo seddex kaalinta 6aad. Dhamaadkii 1989 wuxuu u saxiixay inuu noqdo darawalka tijaabada ee McLaren.