The club today announced that , with Celtic Park being used for the opening ceremony of this year's Commonwealth Games, Murrayfield is the logical alternative, given the size of the stadium and its infrastructure.
Celtic have already had advanced discussions with the management of Murrayfield Stadium and these will continue.
The club feels it is important that supporters are given early notice of these arrangements and we will continue to liaise with supporters' groups and all other relevant authorities going forward.
Chief Executive Peter Lawwell said: "Clearly we very much hope to be involved in the Champions League qualifying matches in July and early August and if this is the case then we felt it important that our fans know our proposed arrangements as early as possible.
"We are fortunate that we have such a fantastic and sizeable support and clearly it is important that we allow as many fans as possible to attend our matches.
"Murrayfield is a magnificent stadium, it is the obvious choice and we are sure it will be a venue which will provide a great footballing occasion.
"We will keep our supporters well informed of all potential arrangements as we move forward".
Scottish Rugby's Director of Commercial Operations, Communications and Public Affairs, Dominic McKay, said: "We're delighted to welcome Celtic Football Club to Murrayfield for their UEFA Champions League qualifying matches this summer, one of the biggest annual sport competitions.
"Scottish Rugby is proud of the facilities we have on offer in Edinburgh. This is a fantastic opportunity for Celtic to work with us to promote Murrayfield as a venue not just for rugby, in 2014."