Thank you for your medical query at AskTheDoctor.com
I understand your concern.
From your description, you have a superficial phlebitis over the iv line insertion site. Superficial phlebitis is not a major cause of concern and you can definitely travel by flight.
Kindly apply Thrombophobe ointment over the site of phlebitis. You can apply it 2-3 times daily and the phlebitis should subside in a couple of days. If you have a lot of pain you can take Tylenol SOS for relief.
Very rarely, it can progress to a localized abscess. In that situation kindly visit a surgeon, and get an incision and drainage under local anaesthesia, which is a minor procedure.
Hope this was helpful,
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