In a pandas dataframe convert all values of all columns to random float

I have a dataframe that looks something like that:

In [2]: df
Out[3]:
     A   B   C   D
0   45  88  44  92
1   62  34   2  86
2   85  65  11  31
3   74  43  42  56

My code contains some conditions, and if one of them get fulfilled I want to turn all the values in all the columns to random floats between 0 and 1. I want to keep the shape and the column names the same, so I hope there is an easy way to do this, something like:

In [4]: df2 = df.apply(value_randomization(0,1))
In [5]: df2
Out[6]:
    A     B     C     D
0   0.76  0.88  0.44  0.92
1   0.62  0.34  0.2   0.86
2   0.85  0.65  0.11  0.31
3   0.74  0.43  0.42  0.56

Is there such a simple solution to it? If not, what would you recommend me? tnx