The 2003 Dolphins were the last team in club history to start 4-0 on the road. They followed up with a Game 9 loss at Tennessee (31-7).
"That's a hard way to do it," Sparano said, "but we're doing it."
The Dolphins head to Baltimore off a 22-14 win at Cincinnati and a controversial 23-22 home loss to the Steelers a week earlier. So this three-game swing through the AFC North is almost complete.
The good news is the Dolphins finally ended their drought without a rushing touchdown. It had been seven weeks, 27 quarters and 180 carries since Ronnie Brown vaulted over from the 1 in the second quarter at Buffalo in the season opener.
Sunday, it was Ricky Williams crashing in from the 1 with 11 minutes to go in the fourth quarter.
"It was good to see one get in there on the ground," Sparano said. "I was happy that thing didn't get changed."
This was easily the longest such drought since Sparano's arrival, surpassing a three-game stretch at the end of 2008 (Jets and Ravens) and the start of 2009 (Falcons).
Not even the 2007 Dolphins, a 1-15 embarrassment, ever went more than three straight games without a rushing touchdown. And that skid didn't come until Games 10-12 agianst the Eagles, Steelers and Jets.
"A touchdown's a touchdown, but it's always fun to run one in," Dolphins center Joe Berger said. "It's great. It's just fun to score."