A new method to modify electrodes with carbon nanotubes (CNT) was developed. Multiwalled carbon nanotubes (MWNT) were adsorbed on the electrospun nylon‐6 nanofibrous membranes (Ny‐6‐NFM) and used as a coating to modify conventional glassy carbon electrodes. The modified electrode was designed for the amperometric detection of sulfhydryl compounds with the potential held at +0.3 V vs. Ag/AgCl. The modified electrode showed a linear response for cysteine up to 0.4 mM (R2=0.997), with a sensitivity of 5.1 µA/mM and a detection limit of 15 µM. Other sulfhydryl compounds showed similar results. After use, the Ny‐6‐NFM was easily peeled off, leaving the bare electrode surface back to its original electrochemical behaviour. This is the first attempt to use a disposable membrane functionalized with MWNT for electroanalytical purposes.