Mark Beevers scored an injury-time winner at Southend on Tuesday as second-placed Wanderers moved 10 points clear of Fleetwood in third.
The Lancashire side are attempting to return to the Championship at the first attempt after relegation last year.
"We've still got work to do," 49-year-old Parkinson, who took over last June, told BBC Radio Manchester.
"A few weeks ago we spoke about the 12 cup finals and it is now down to six.
"Just because we have a seven-point lead, we can't take our foot off the gas.
"We've got a chance to get the job done, so let's do it - let's make sure we continue with the same intensity that we've been showing."
The win at Roots Hall was Bolton's 11th away from home in the league this season, the highest number of any team in the third tier.
"We've got to put pride back into wearing the Bolton Wanderers shirt, it is as simple as that," added the former Bradford and Charlton boss.
"The supporters had seen some poor performances on their travels last year and the only way to win away from is if you don't carry any single player."
Bolton Wanderers cannot become complacent in the push for League One promotion, says manager Phil Parkinson.