Are too many internships a bad thing?

Hi there, I am a recent college graduate. I've had a total of eight internships now, and just completed a two-month internship right after I graduated. Recently, I accepted a job offer for a 3-month paid full-time internship. I really wanted to work for the company and accepted an internship with them with the hopes of getting hired on permanently afterward. I was wondering if doing too many internships was a bad thing. If I don't get a job offer from this company after my internship is over, are employers going to frown on me for not getting a permanent job? My hopes are that I get a job offer with this company because I have wanted to work for them for awhile.