According to my quick calculations, about 15 minutes.
You'll get a wheel in the first five cards once every 2538 hands.
You'll get a wheel in the first six cards, including the first five, once every 468 hands.
You'll get a wheel in the first seven cards, including the first five or six, once every 113 hands.
What I did was take 20/52 * 16/51 * 12/50 * 8/49 * 4/48 * 47/47 * 46/46 = 64/162435 = 1/2538.047 = prob of a wheel in the first five cards.
Then for the first six cards I did 20/52 * 16/51 * 12/50 * 8/49 * 48/48 * 4/47 * 46/46 = 1024/2544815. Then put the nothing card in each of the other six spots, added up the totals for 11223/5253518 = 1/468.1.
For seven cards I did each of the 21 possibilities to make a wheel out of seven cards, added them up for 58581/6632282 = 1/113.26.
I'm concerned I may have made a clerical error somewhere since it doesn't add up to the 1/170 the (edit - wikipedia not wizard) got, so somebody double check.