But she hasn't ruled out the proposals!
Scottish First Minister Nicola Sturgeon spoke recently about the obstacles that stand in the way of building a bridge between Northern Ireland and Scotland, reports the Irish Examiner.
However she hasn't ruled out the idea of a bridge connecting either Larne (N.I) and Portpatrick (Scot.) or Mull of Kintyre (N.I) with Torr Head (Scot.), which has been promoted by the Democratic Unionist Party (DUP).
Strengthening ties between Scotland, Northern Ireland, and the Republic of Ireland is a priority of Ms Sturgeon, but she says there are other ways to achieve this without building a bridge.
''Whether it's around a bridge or in other ways strengthening the relationship between Scotland, the north of Ireland and the Republic of Ireland is a big priority for my government'', she said.
“We will always talk about how we can strengthen relations, we need to have practical and achievable ideas,” she told the Press Association during a visit to Dublin on Monday.
“I have representations made to me about the idea of a bridge, there are obviously a lot of challenges and things to be discussed there.
“Whether it’s around a bridge or in other ways strengthening the relationship between Scotland, the north of Ireland and the Republic of Ireland is a big priority for my government.”
DUP leader Arlene Foster and MP Sammy Wilson have both expressed their support for building the bridge.
Conservative Party leadership contender Boris Johnson also spoke in favour of such a bridge when he appeared at the DUP party conference in September.
The proposal first made headlines last year when Architect Professor Alan Dunlop presented two options for the bridge which could connect either Larne and Portpatrick or Mull of Kintyre with Torr Head, and estimated the cost to be between £15 billion (€17 billion) and £20 billion (€22.7 billion).
