Background Check Question

I recently received an SWE internship offer from a big tech company which requires me to complete a background check in 1-2 months. While going to school, I worked an at-will employment data analyst internship that was meant to be long term. I decided to quit my data analyst job a few days after receiving my big tech internship offer. In the meantime, I plan to work as a tutor at my school to ensure no gaps of employment in my resume. Do you think there would be a problem with my upcoming background check if I quit my data analyst job? ** I have no criminal record, bankruptcy, or anything bad. I just quit my job. I just do not want my big tech offer to be withdrawn. The offers are one of the companies below. #softwareadvice #backgroundcheck #softwareengineer #stripe #engineering #swe #software #amazon #palantir #twitter #coinbase #apple #uber #lyft #roblox