Depends on what do you mean by "IP spoofing problem"?
The QUIC protocol belongs in the transport layer rather than the network layer.
Mitigating the effects of spoofing can be done in the tranport layer, just as it has been done in TCP, the client needs to both send and receive packets to open a data stream. If the 3-way-handshake is not complete, the client will not be able to talk with the application. But this does not really solve the problem. IP spoofing is still taking place.
I believe the "IP spoofing problem" cannot be fixed in the transport layer, because it does not relate to how packets travels from A to B on the Internet.
If an an application can receive data from spoofed IP-addresses, and the underlying transport protocol does not protect the application from this, then take a look at take a look at Steffen Ullrichs answer for further explanation on how this make amplification attacks possible.