The tie may well be more attractive for the Edinburgh club than it is for Spurs, with Harry Redknapp's men having to make do with the second-tier European competition having failed in their bid to reach the Champions League for a second successive season.
Hearts booked their play-off place with a win over Paks last night, and it will allow their new manager Paulo Sergio to show what he is capable of south of the border, having been controversially appointed by the club's outspoken majority shareholder Vladimir Romanov earlier this week, following Jim Jefferies' surprise departure."This is a very interesting draw for us, for sure," Sergio told Hearts News.
"No matter who we were drawn against it was going to be a very difficult tie, but it is a match which I am sure will capture the imagination.
"There is not much travelling involved for the supporters and of course there will be the Scotland-England rivalry as well."
Scottish champions Rangers will look to get over their Champions League exit to Malmo by getting past Maribor.
They defeated the Slovenians 6-1 on aggregate in a 2001 qualifier and manager Ally McCoist said: "It's a good draw in terms of the place that we are going to.
"It's accessible and it's not the worst. They are a good team and I think they are still sitting at the top of their league. They will be a tough side.
"The club went there seven or eight years ago and got a favourable result over the two legs and we would be hoping for the same."
Rangers' old foes Celtic have been pitted against Swiss side Sion, and Neil Lennon does not feel it is the easiest of ties.
"They are a good team, they have made a good start to the season, winning two out of three and as with all Swiss teams, they will be very fit, very athletic and technically very good," the Hoops boss said.
"By the time we play them they might have six or seven games under their belt, hopefully we will have three or four by then.
"But it is a tough draw, there is no doubt about that."
Stoke, last season's FA Cup finalists and embarking on a European campaign for the first time since the 1975-76 season, will head to Switzerland for a clash with FC Thun, welcoming them to the Britannia Stadium the week after.
"I'm obviously pleased with the draw, in respect to having the second leg at the Britannia Stadium," manager Tony Pulis said.
"It's good for us to travel away first so we can get them back to our place and have the full backing of the Britannia Stadium, which I feel is crucial.
"As with a lot of teams in the competition, we don't know much about them but I am sure they will say the same about us."
Fulham, drawn against Dnipro of Ukraine have already switched their games around, meaning they will be at home first on August 18 and away a week later, while Carling Cup winners Birmingham, now in the npower Championship following relegation, take on Portuguese side Nacional.
Irish side Shamrock Rovers, meanwhile, will face Serbian champions Partizan Belgrade.