I wouldnt do it either.
It is close but I think you lack one hair on the heads of your wehrmacht to be successfull. Lucky dicerolls aside.
On the other hand, bad dicerolls will ruin everything for you because this situation is so… ‘on the edge of a knife’ if you know what I mean. You have no room to translate bad dice into cheap losses. Normal dicing from the UK will hurt you very much already, let alone a few losses more!
Consider to send 1 or 2 of your FTR into the channel as well if you DO go for the invasion, to be absolutely safe if the UK decides to scramble. If you don’t you may loose just a lot of aircraft and not even get 1 land unit into London.