Not enough information to answer, I am not clear what the question is.  What class of immunoglobulins are you asking about and how does it relate to the local anesthetic?

Patients with atopy specially with Allergic rhinitis are prone to otitis media and sinusitis. chronic infection affect immune system and Immunoglobulins Specially IgG might be higher in this patients. In allergic asthma the specific and totai IgE level could be high.The severity of drug reactions in allergic patients is higher.

Do you mean a patient with allergic asthma or a patient with asthma who developed allergy to local anaesthetic? I mean, in patients with asthma you can find that two scenarios. On the other hand, there are patients with asthma without elevation of IgE.