Shuffling pairs in lists of lists

Given a list of lists as follows:

aList = [["1","Number1", "2", "Number2","3","Number3", "4", "Number4"],["3","Number3", "1", "Number1","2","Number2", "4", "Number4"]]

I am trying two shuffle every two elements in a sublist to get something like e.g. this:

aListNew = [["3","Number3", "1", "Number1","4","Number4", "2", "Number2"],["2","Number2", "3", "Number3","1","Number1", "4", "Number4"]]

So it is important that the two successive strings remain together while being shuffled.

Thanks for the help in advance!