Transition betweeen states

I have states classes which inherit from StateI:

class StateI
{
 ....
}
class State1:public StateI
{
 ....
}
class State2:public StateI
{
 ....
}
...  //etc

I can switch between some states. There is checking logic for every transition between 2 states (example from State1 to State2).

In my current design there is a check function for every state in Interface like:

class StateI
{
     virtual bool transitionToState1() =0;
     virtual bool transitionToState2() =0;
     //etc...
}

the idea of transitionToState1 is to check if transition from current state is possible to state1. From OOP point of view, this is not correct, because the parent class StateI must have knowledge of its children. What would be better solution from OOP point of view ?