Semen analysis.

Mac • 27 yrs old. Married for 4 years. TTC since marriage for baby #1. Clomid 6 failed rounds. Dx with fibroids 9/2016.
My husband is suposed to get a semen analysis done at the hospital where I work. We are planning to do this Friday morning before I leave for work. 
At my last obgyn appt, my doctor gave me the script and a cup for my hubby to use for his "collection". So here is the question. we live about 45 mins from the hospital. If he does the "deed" before I leave home Friday morning can I drive it there in time? 
I know I can keep it tucked under my shirt until I arrive to the lab. Any advice is appreciated!