It very much depends on your personal definition of "superintelligent"
For super LLMs like GPT4 will not directly lead to AGI as they are simply statistical pattern matchers (although the emergent behaviors will likely expedite many of the subsequent steps). However, they fundamentally solve national language comprehension and generation to native expert level. Similar advances in DL models for vision are close to human level. Thus the sub-symbolic requirements have largely been met. We also see from performance in systems like Alpha Go the symbolic processing is also at human expert level, albeit within more confined domains. The steps to AGI are more in line of systems integration and hybrid symbolic - sub-symbolic processing, with a broadening of the domain training.
AGI is about 5 years away at this rate, 10 years would be quiet slow.