This study is initiated by a recent discovery, according to which a water soluble polymer, poly(ethylene glycol) (PEG), affects the dynamics of the Belousov-Zhabotinsky (BZ) reaction in a characteristic way. As various polymers and polymer-based hydrogels are often applied in nonlinear chemical experiments, it is an interesting question whether the effect of a polymer can be attributed exclusively to its reactive endgroups (here primary alcoholic groups) or if the macromolecular nature of the perturbant might be also important. In this paper, as a first step, the results of batch experiments are presented applying only small molecules, namely ethylene glycol (the monomer of PEG) and methanol (a more simple primary alcohol), as perturbants of the BZ reaction. The reaction was followed by monitoring the rate of the carbon dioxide evolution. The experimental results are compared with model calculations, applying the latest model of the BZ reaction, the Marburg-Budapest-Missoula (MBM) mechanism extended with the perturbing reactions. The rate of the perturbing reactions (reaction of the acidic bromate with the alcohol producing the autocatalytic intermediate bromous acid) was determined in separate spectrophotometric experiments. Experiments and model calculations show a good qualitative agreement (alcoholic perturbations increase the induction period and the frequency of the oscillations and decrease the amplitude), but disagreements were found on a quantitative level. Because the mechanism of the alcoholic perturbation, especially in the case of methanol, is mostly clarified, it is the MBM mechanism which should be modified somewhat in the future. As the reaction dynamics responds to the alcoholic perturbations rather sensitively, simulating these perturbation experiments can help to test new mechanistic proposals for the BZ reaction.