The Highlanders claimed a convincing 3-0 win against St Mirren to ensure the best possible start to the Scottish Premiership last week.
They needed eight games to claim their first league win last year, before going on to secure an impressive top four finish, and Butcher is determined to ensure the standards do not drop ahead of tomorrow's meeting with Dundee United.
He said: "Things can fall into place very quickly but things can also go off the rails very quickly.
"You don't want to slip into an easy frame of mind where you allow things to dip a little bit or possibly veer off course.
"There are still 37 games to go and cup ties to be played.
"It was a great win and a good start in as much as it took us three games to get three points last year and it took us eight games to get the first win.
"So we are ahead of schedule but we want to keep well ahead of where we were last year.
"That will be some feat to achieve but it's a task that we are up to and it's a task we can't wait to get started on."
Butcher has recruited 11 new players and believes the extra competition for places can only boost their hopes of success.
He said: "What I want to do is have the boys who are in the team looking over their shoulders and saying 'If I don't perform this week at Tannadice, then there are players who are hungry, who are training well, that want to take my place'.
"If you've got that good competition, you've got a really good chance of improving the starting 11 and improving the whole standard of the squad, which we have done."
Inverness' last trip to Tannadice in December resulted in an enthralling 4-4 draw.
Butcher said: "I don't think my heart could go through a re-run of the 4-4 game. It was just absolutely immense.
"It was the perfect advert for Scottish football because it was end to end stuff and could have been more than the eight goals on show."