Hi there! Sometimes they move faster than that! We sent in our paperwork at the beginning in April, "offically" closed on the 9th of May and had our official cards by the first week in June. So I guess it depends. But they do send you temporary ones so you can use them as early as possible.
Due to a glitch, our cards (and those of a number of people who closed on the same date we did) took about 4 months to come. Other than this glitch, people seem to have been getting their cards fairly quickly.
We closed the beginning of Feb. Got our temp cards a week later but still don't have our permanent cards. The temps "expired" on June 9 but I have used them at TDS without any problems. I guess I need to call MS!