Scotland's tournament kicks off on September 9 against Portugal in St-Etienne.
And Euan said: "I hurt my ankle a wee bit on Saturday but it's nothing serious. It's just precautionary. I've been off training this week, and will be until Monday - but I fully expect to be good to go after that.
"It is a relief to have got through both our World Cup warm-up matches [against Ireland and South Africa] in more or less one piece. Now I'm just looking forward to getting into the actual tournament and playing some games that matter, and hopefully being successful."
Scotland coach Frank Hadden will be particularly keen to see Euan back in action as soon as possible. The 27-year-old has become a crucial figure in a Scottish pack which has improved considerably in the set-piece during the last year.
Having put the injury problems which blighted the first three years of his professional rugby career behind him, Euan has started every Scotland game this season. He has no doubt that Saturday's 27-3 defeat to South Africa was the toughest challenge yet - but he thinks the experience will benefit the team in the long-run.
"It was probably the hardest game I have ever played in, and it was made more so because this was our first match for three months, whereas it was a ticking over game for them because they are just coming to the end of the season. There is a big difference in where we are," he said.
"It's a wake-up call. It was the ideal game for getting us up to speed and should stand us in good stead at the World Cup.
"Towards the end of the match on Saturday people were getting tired and when players get tired your technique goes a little bit, but the more we play the longer we'll be able to last."