I was once lecturing along side a NASA scientist (I'm ex-NASA) and she was explaining the gas giants. Afterwards, I took her aside and said "considering the pressure of gas giants, and all the stuff falling in, doesn't it make sense that there is a solid core, even if tiny?".

She agreed that it does make sense.

However, technologically, we can't probe that deep yet (it's just too big with too many complex layers).