The US are top of the CONCACAF qualifying group going into their matches against Costa Rica in San Jose on Friday, and Mexico in Columbus on Tuesday.
Having played six of their 10 group fixtures they are on 13 points, six points clear of Honduras, who occupy the play-off spot in fourth.
Jurgen Klinsmann's men are on a 12-match victorious streak, during which they won the Gold Cup in July, and with that form in mind, Donovan can envisage a glorious scene for him and his team-mates next week at the end of the Mexico game.
"The hardest thing to do in this whole process is finish it off," the Los Angeles Galaxy man told www.ussoccer.com.
"Everybody is playing each other and you're picking up points along the way, but when it gets down to the end and you need points to qualify, the stakes get raised. There's more pressure, and there can be more tension.
"What I would emphasise is to just continue on the path we've been on.
"This team is in such good form right now. The confidence is so high. The camaraderie is really good in the group.
"We don't need to worry about external stuff and just focus on playing because we're talented enough and we have a good enough team that we can get results in these next couple games and we can be celebrating in a really big way (on) Tuesday night."
He added: "There would be no better feeling than standing on the field in Columbus on Tuesday night and all of us celebrating.
"I can envision scarves around our neck, American flags, the crowd going crazy and everybody celebrating together.
"That would be an incredible moment, but there is a lot that has to happen before that.
"The beauty of it is that it's all in our hands.
"The last thing you want to do in these situations is come down to games nine or 10 having to qualify.
"Nothing is guaranteed in World Cup qualifying. It happens every time where big teams don't qualify for the World Cup.
"We've put ourselves in a fantastic position and now we need to really smell the blood and go for it and finish it off."
Costa Rica are second with 11 points from six group games, while Mexico are third with eight from six.
While the US face Costa Rica, Mexico will be at home against Honduras on Friday.
Also, Panama, currently a point behind the Hondurans in fifth, host rock-bottom Jamaica, who have only two points from their six matches so far.