Cannot change scrollbar on v-autocomplete drop-down (Vuetify)

Question

Is there any way to change scrollbar thumb color on v-autocomplete drop-down.

Tried to used ::-webkit-scrollbar-thumb on menu contentClass - not working.

<v-autocomplete
    class="search-field"
    color="green"
    outlined
    v-model="selectedProducts"
    :loading="loading"
    :menu-props="{ contentClass: 'search-dropdown' }"
    item-text="name"
    item-value="name"
    :items="searchingProducts"
    :search-input.sync="productSearchInput"
    :height="40"
    placeholder="Всі"
    clearable
    flat
    hide-no-data
    cache-items
    :rounded="false"
    label="Який продукт шукаєш?"
>

<style lang="scss" scoped>

.search-dropdown::-webkit-scrollbar-thumb {
background-color: red !important;
}

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