Starting sentence with subject and not including it in verbs later on

When creating longer sentences, I am apt to say something like

"I love it when he visits and am looking forward to his next one."

where I say "I ...", using a subject and verb, but then say "and am" without including the subject pronoun again. Is this acceptable in English? Are there any situations in which only mentioning the subject pronoun once at the beginning of sentence would be incorrect? The meaning does not seem unclear because of it, but saying "I" again sounds repetitive and unnatural.