When it comes to blue chips, I like businesses that already have scale and strong market positions but are also finding ways to improve their operations or expand into new areas. That combination can create a more interesting long-term setup.
That said, here are three ASX blue-chip shares I would look at right now if I had $5,000 to invest.

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Telstra Group Ltd (ASX: TLS)
Telstra is often viewed as a steady income stock, but I think there is more going on beneath the surface.
The telco share is starting to show operating leverage across the business, with growth in earnings supported by cost control and efficiency gains. Its mobile division continues to benefit from higher average revenue per user and customer growth, which is helping drive overall performance.
What I like is how disciplined the business has become. Cost reductions, capital management, and targeted investment are all working together to improve returns.
There is also a clear focus on long-term infrastructure, including network investment and connectivity, which keeps Telstra central to Australia's digital economy.
When I look at it this way, Telstra starts to feel less like a slow-moving incumbent and more like a business that is steadily improving its earnings profile.
Flight Centre Travel Group Ltd (ASX: FLT)
Flight Centre has gone through a full cycle over the past few years, and what is emerging now looks quite different from the pre-COVID business.
The travel agency company is becoming more efficient, with productivity gains showing up across the group. In the first half, total transaction value reached a record $12.5 billion, while cost margins improved to their lowest level for a first half.
What I find interesting is how the model is evolving. There is a growing contribution from corporate travel, new revenue streams from cruise markets, and a stronger focus on technology and AI to improve productivity and customer experience.
These changes are helping the business scale more effectively than before, which I think could support strong long-term returns.
Cochlear Ltd (ASX: COH)
Implantable hearing solutions company Cochlear is one of those businesses where the long-term story is tied to a very specific and growing need.
Hearing loss remains under-treated globally, and awareness continues to increase. That creates a steady expansion in the addressable market over time.
The recent launch of the Nucleus Nexa system, which includes upgradeable firmware, shows how the company continues to invest in innovation after decades in the industry.
There have been some short-term impacts as the product rolls out and contracts are renewed, but adoption is building, and the second half is expected to benefit from broader availability.
What gives me confidence here is the combination of a strong market position and ongoing product development. That tends to support growth over longer periods, even if results can move around in the near term.
Foolish Takeaway
I think these ASX blue-chip shares could be good options for investors this month.
Telstra is becoming more efficient while maintaining its core position; Flight Centre is evolving into a more productive, technology-enabled operator; and Cochlear continues to build on a long history of innovation.
That mix of scale and progression is what I look for when putting money to work in this part of the market.