Influenza jab, egg allergy

Hi mommies! My almost 9 mo bb is taking his influenza jab this coming thurs and he seem to have a v mild allergy w eggs. We fed him boil egg yolk twice, scrambled egg white twice- all ok. Then we tried whole egg scrambled the first time, all well but the second and third time we gave whole egg scrambled, he developed some red patches around his lips. It isn’t itchy or painful, red patches aren’t raised too. Bb doesn’t show any sign of discomfort, v active and those red patches went away within 15-20mins. Any mommies have similar experiences? Can he still take the jab? Will this allergy go away as he gets older? TIA! :-) #advicepls #1stimemom