The Dons lost 2-1 to Kairat Almaty on Thursday afternoon in their Europa League third qualifying round first leg and have to travel 3,400 miles back to Scotland.
The two sides met on the opening day of the Scottish Premiership campaign last season, with United cruising to a 3-0 win at Pittodrie.
McNamara is keen to lay down a marker ahead of the new season and hopes Aberdeen’s European excursions could help his team pick up another opening-day win.
He told Sky Sports News HQ: “I think it is important for us to get a good start. We played them in the first game last season up at Pittodrie and we won that so it would be nice to do the same this year.
“They have a tough journey from the European game so hopefully they will be a bit tired from that.”
Aberdeen finished second last year, their highest Scottish top-flight placing since 1994.
However, the United manager said champions Celtic are clear favourites to win the Scottish title again and suggested the cup competitions represent a more realistic opportunity for the rest to win silverware.
“I think Aberdeen pushed Celtic quite far last year, up until April time, but with the strength and resources they have it is always difficult,” McNamara said.
“I think for the rest of us the best chance of success is the cups.”
Watch Celtic v Ross County live on Sky Sports 1 from noon on Saturday, August 1 and Dundee United v Aberdeen also live on Sky Sports 1 from 3pm on Sunday, August 2.