Can an lvalue reference non-type template parameter be inferred? [duplicate]

This question already has an answer here:

• Can't deduce template type 5 answers

I have the following code, which I cannot get to work:

struct foo {};
foo foo1 = {};

template <foo& F>
class FooClass {};

template <foo& F>
void foobar(FooClass<F> arg) {
}

int main() {
    FooClass<foo1> f;
    foobar(f);
}

The error is:

main.cpp:14:5: error: no matching function for call to 'foobar'

note: candidate template ignored: substitution failure : deduced non-type template argument does not have the same type as the its corresponding template parameter ('foo' vs 'foo &')

OK, I can understand that. Easy to fix, right? Just prepend an &:

template <foo& F>
void foobar(FooClass<&F> arg) {
}

Wrong:

note: candidate template ignored: couldn't infer template argument 'F'

Is it at all possible to infer lvalue reference template parameters? If so, how should it be done?