TextField suffix animation alignment

Has anybody had a similar problem?

TextField suffixIcon takes a widget like this:

TextField(
  decoration: new InputDecoration(
    suffixIcon: Icon(Icons.ac_unit),
  ),
),

Result of the code

Now I would like to have the same thing but with loading animation:

TextField(
  decoration: new InputDecoration(
    suffixIcon: Container(
    child: SpinKitWave(
      color: Colors.red,
      size: 20.0,
    ),
),

Result of the code with animation

Same thing happens if I change suffixIcon to suffix.

Question: right alignment like with icons, I tried with HorizontalAlignment, but that doesn't seem to work.

Here's how you can align the loading animation to the right of the TextField :

@override
  Widget build(BuildContext context) {
    double width = MediaQuery.of(context).size.width;
    double height = MediaQuery.of(context).size.height;
    return SafeArea(
      child: Scaffold(
        body: Center(
          child: Container(
            padding: EdgeInsets.symmetric(horizontal: width * 0.025),
            child: TextField(
              decoration: InputDecoration(
                border: OutlineInputBorder(
                  borderRadius: const BorderRadius.all(
                    const Radius.circular(60),
                  ),
                ),
                filled: true,
                fillColor: const Color(0xFFE3F8F8),
                suffixIcon: Container(
                  width: width * 0.2,
                  height: width * 0.1,
                  child: SpinKitWave(
                    color: Colors.red,
                    size: 20.0,
                  ),
                ),
                prefixIcon: Icon(
                  Icons.search,
                  color: const Color(0x99000000),
                ),
              ),
            ),
          ),
        ),
      ),
    );
  }

OUTPUT :