An oral care implement that dispenses an oral care agent during use and a method of assembling such an oral care implement. The method may include contacting a suction tool to a supporting member and then contacting the supporting member to a dissolvable element to form a sub-assembly. Next, the sub-assembly may be inserted into a cavity of a head portion of an oral care implement. Then, the suction force applied by the suction tool onto the sub-assembly may be released to leave the sub-assembly in the cavity of the head portion. Finally, an oral cleaning member may be coupled to the head portion of the oral care implement.