Laravel update and delete test not passing

i have created a test for my create method to test out my controller but cant seem to see the issue at hand, can any one shed some light please , this is my update controller test

    public function test_if_user_can_update_a_supplier()
{
    //Make fake data, don't persist to database.
    $supplier = Supplier::factory()->make()->setAppends([])->makeHidden(['created_at', 'updated_at']);

    //Create an Admin User and assign the Administrator role to this new user
    $adminUser = factory(AdminUser::class)->create();
    $adminUser->roles()->sync(Role::where('name', 'Administrator')->first());

    //Make the request as the new authenticated Administrator user with the admin guard.
    $this->actingAs($adminUser, config('admin-auth.defaults.guard'))
        ->json(
            'POST',
            route('admin/suppliers/update'),
            $supplier->toArray()
        )
        ->assertStatus(302)
        ->assertRedirectToRoute('admin/suppliers/index');

    $this->assertDatabaseHas(
        'suppliers',
        $supplier->toArray()
    );
}

i get this error when running the test Missing required parameter for [Route: admin/suppliers/update] [URI: admin/suppliers/{supplier}] [Missing parameter: supplier].

But when i add the @supplier->id to

	route('admin/suppliers/update' , $supplier-id ),
            $supplier->toArray()
        )

i still get the same error

This is the delete test that returns the same error

	    public function test_if_a_user_can_delete_a_supplier()
{
    //Make fake data, don't persist to database.
    $supplier = Supplier::factory()->make()->setAppends([])->makeHidden(['created_at', 'updated_at']);

    //Create an Admin User and assign the Administrator role to this new user
    $adminUser = factory(AdminUser::class)->create();
    $adminUser->roles()->sync(Role::where('name', 'Administrator')->first());

    $this->actingAs($adminUser, config('admin-auth.defaults.guard'))
        ->json(
            'DELETE',
            route('admin/suppliers/destroy'),
            $supplier->toArray()
        )
        ->assertStatus(302)
        ->assertRedirectToRoute('admin/suppliers/index');
    $this->assertDatabaseMissing(
        'suppliers',
        $supplier->toArray()

    );
}