To obtain an aq. conc. dye soln. which can almost avoid the problem with storageability by incorporating a specified amt. of a blue-dyeing anthraquinone dye into the same.

The objective aq. conc. dye soln. contains 5-50 wt.% (based on the total wt. of the soln.) at least one dye of formula I {wherein X and Y are each H, a 1-4C alkyl, or 1-4C alkoxy; Z is a 2-6C alkanoylamino or 2-4C hydroxyalkylsulfamoyl; and M+ is an ammonium cation of an amine of formula II [wherein R1 and R2 are each H, a 1-6C alkyl, (oxygen-interrupted) hydroxyl, or amino-substed. 2-6C alkyl; and R3 is (oxygen-interrupted) hydroxyl of an amino-substd. 2-6C alkyl provided when X and Y are both methyl and Z is 2-hydroxyethylsulfamoyl or when X and Y are both H and Z is propionylamino, then R1 to R3 are each not a group of-CH2-CH(OH)-CH3]}.