Neil Lennon would not swap positions with Ally McCoist even though Celtic trail Rangers by four points at the top of the SPL following last Sunday's defeat at Ibrox.
The Celtic manager found himself under fire after surrendering a half-time lead in the 4-2 defeat in Govan, days after losing their Europa League group opener to Atletico Madrid in Spain.
However, the spotlight turned back on McCoist, whose side had been knocked out of both the Champions League and Europa League in the qualifiers, after Rangers' shock exit to First Division side Falkirk in Scottish League Cup on Wednesday night, as Celtic eased through to the quarter-finals with a 2-0 win at Ross County.
Ahead of today's SPL clash with Inverness at Parkhead, Lennon, who revealed defender Kelvin Wilson could be out for up to six weeks with an Achilles problem, was asked if he felt Celtic are in a better position than Rangers.
"It's difficult to say," the former Northern Ireland midfielder said.
"It is too early to say what position we are in in comparison to Rangers. All I know is that we have got important league games coming up before the international break and we would like to win them all."
But when asked directly if he would swap positions with Rangers, he said: "No -- because we are in Europe and all the (domestic) competitions and that's where you want to be at the minute.
"The game changes very, very quickly. While you are always disappointed to lose a derby game, you have to keep on a level.
"There is no doubt that the lows are lower than the highs are high and we had a job to do on Wednesday (at Ross County) but we came through it okay."