It has been found that certain polyhydroxyalkylamines have a particularly good solubility in water, alcohols and in mixtures of water and alcohols. The concentrated solutions described consist essentially of water, alcohols, preferably C.sub.1 -C.sub.3 -alcohols, or water/alcohol mixtures as solvent and at least one dialkylaminopropylglucamine of the formula 1 below Z--NH--CH.sub.2 CH.sub.2 CH.sub.2 --NR.sup.1 R.sup.2 ( 1) where R.sup.1 and R.sup.2 are identical or different and are C.sub.1 -C.sub.4 -alkyl or hydroxyalkyl having from 2 to 4 carbon atoms and Z is a linear polyhydroxyhydrocarbon radical having at least three OH groups which may, if desired, be alkoxylated, The concentrated solutions are particularly useful for preparing the corresponding polyhydroxyalkylcarboxamides.