She thanked her medical team, as well as family and friends.
She has been a pit lane reporter for 5 Live, the BBC radio station, since 2012.
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Gows Twitter message prompted a flood of well wishes.
Jennie GowGetty
Jennie, so desperately sorry to read this and sending all my love and strength.
You WILL get through this but take all the time you need, said fellow F1 presenter Laura Winter.
McLaren F1 tweeted: Wishing you a speedy recovery, Jennie.
The entire team sends their love and strength as we look forward to seeing you back in the paddock.
