The Fir Park side go into Friday's third qualifying round draw as one of 29 unseeded sides.
Among their potential opponents are former German champions Stuttgart, two-time UEFA Cup winners Sevilla and England's Capital One Cup holders Swansea, with Udinese, Club Brugge and Vitesse Arnhem also in the hat.
But there are possible trips to both Ukraine and Russia as well as other far-off destinations for Steelmen boss Stuart McCall to contemplate ahead of the draw at UEFA's Nyon headquarters in Switzerland.
But Vigurs claims he has not paid much attention to the other names his side could face because he cannot make up his mind about who he would rather take on.
He said: "We haven't really taken a look at who we could face. There's not much you can do until you find out who you get. But this is my first opportunity to play in Europe and I can't wait. I'm just dying to find out who we get on Friday.
"Am I nervous? No I'm more excited about the prospect. There are some really big teams in there but I'm not sure if I want us to get them and have a glamour tie or perhaps a smaller side who we have a better chance against. If we can avoid one of these nightmare trips to the middle of nowhere, that would be better at least."
Vigurs followed former Ross County team-mate Paul Lawson south earlier this summer after signing a pre-contract with McCall's side. And he admitted the prospect of Europa League action was too good to turn down.
"Motherwell are a good club and have played brilliantly over the last couple of seasons," said the 25-year-old. "The gaffer is a great manager as well but having Europe to come was a bonus really. Not many people get the chance to play in Europe."
Vigurs netted for his new side on his first Fir Park appearance in Motherwell colours as they went down 4-2 to Newcastle on Tuesday night.
The Magpies side sent north by Alan Pardew contained a mix of youth and experience and Vigurs said the test posed by the Barclays Premier League outfit was exactly what was needed ahead of their European jaunt.
He said: "They are a good side, that's for sure. Strong, quick, really fit and constantly on the move. That's just what we need before we get into the European games. We said before the game that we would prefer a game like that when we have got big teams in Europe who we could potentially end up facing that can all play like that.
"It was a good run out for us and one that we needed."