Uefa will try to earn the support of the European Strategy Council, the consultative body representing clubs, leagues, players and associations, to implement changes to the revenue structure.
Gaillard added: "We are well aware there are some imbalances in the revenue distribution which have a negative effect in national leagues by widening the gap between the rich and not so rich.
"We will talk to the clubs and see how they feel, and try to convince them that in the longer run it is not in their interest if, because of the way money is distributed, national leagues become too imbalanced.
"This is something we have to bring to the strategy council and find a consensus, but we will have a very wide consultation policy."
Italian club Roma reached the quarter-finals and made �22.9m, while Barcelona, the only non-English club in the semi-finals, earned �21.7m.
The lowest earners among the 32 teams who reached the group stage were Ukraine's Shakhtar Donestsk who earned �5.6m.
Apart from Rangers, the Champions League figures dwarfed those earned by British clubs in the Uefa Cup.
Everton made �400,000, Tottenham and Bolton each earned �352,000 and Aberdeen �265,000.
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