A medical device lead includes a thin profile conductor assembly. A proximal connector includes a proximal end that is configured to couple the lead to a pulse generator. An insulative lead body extends distally from the proximal connector. The conductor assembly extends distally from the proximal end within the lead body and includes a non-conductive tubular core member that defines a lumen, an outer insulative layer, and a multilayer conductor between the tubular core member and the outer insulative layer. The multilayer conductor is electrically connected to the proximal connector and includes a first conductive layer adjacent to the tubular core member and a second conductive layer adjacent to the first conductive layer opposite the tubular core member. A conductivity of the second conductive layer is greater than a conductivity of the first conductive layer.